211:@0.937671:0.974518:0.968375:0.974518:0.968375:0.956333:0.937671:0.956333:0.000000:0.000000:0.000000
Pensamiento espacial:@0.721207:0.043660:0.914624:0.043660:0.914624:0.024915:0.721207:0.024915:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
donde::@0.073089:0.136836:0.124537:0.136836:0.124537:0.120402:0.073089:0.120402:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
L:@0.073089:0.157056:0.080709:0.157056:0.080709:0.140650:0.073089:0.140650:0.000000
 es la longitud de la circunferencia.:@0.080636:0.157056:0.330387:0.157056:0.330387:0.140622:0.080636:0.140622:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
r:@0.073089:0.177276:0.078372:0.177276:0.078372:0.160870:0.073089:0.160870:0.000000
 es el radio de la circunferencia.:@0.078298:0.177276:0.303546:0.177276:0.303546:0.160842:0.078298:0.160842:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
d:@0.073089:0.197496:0.082348:0.197496:0.082348:0.181090:0.073089:0.181090:0.000000
 es el diámetro de la circunferencia.:@0.082274:0.197496:0.336782:0.197496:0.336782:0.181062:0.082274:0.181062:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p:@0.073089:0.224303:0.085366:0.224303:0.085366:0.210587:0.073089:0.210587:0.000000
=3.14159 (y es la razón constante entre la longitud de la circunferencia y su diámetro, :@0.085274:0.224858:0.710468:0.224858:0.710468:0.208424:0.085274:0.208424:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
es decir, es el número de veces que cabe el diámetro en la circunferencia).:@0.073089:0.241499:0.608204:0.241499:0.608204:0.225066:0.073089:0.225066:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejemplo 1:@0.073089:0.272439:0.148872:0.272439:0.148872:0.255770:0.073089:0.255770:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Para una circunferencia con un radio de 7 cm, la longitud es:@0.073089:0.296223:0.505091:0.296223:0.505091:0.279790:0.073089:0.279790:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
L:@0.073089:0.316443:0.081777:0.316443:0.081777:0.299774:0.073089:0.299774:0.000000
 = 2 (7 cm) = 14 = 43,98 cm:@0.081703:0.316443:0.301228:0.316443:0.301228:0.300009:0.081703:0.300009:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p:@0.109388:0.315888:0.121666:0.315888:0.121666:0.302173:0.109388:0.302173:0.000000
p :@0.203744:0.315888:0.220531:0.315888:0.220531:0.302173:0.203744:0.302173:0.000000:0.000000
Longitud de un arco.:@0.073089:0.343805:0.227774:0.343805:0.227774:0.327371:0.073089:0.327371:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 La longitud de un arco es una fracción de la longitud total de la :@0.227802:0.343805:0.710434:0.343805:0.710434:0.327371:0.227802:0.327371:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
circunferencia, determinada por el ángulo central   que abarca el arco. La fórmula para :@0.073089:0.360447:0.710543:0.360447:0.710543:0.344013:0.073089:0.344013:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
u:@0.437737:0.359892:0.446940:0.359892:0.446940:0.346177:0.437737:0.346177:0.000000
calcular la longitud de un arco es::@0.073089:0.377089:0.315074:0.377089:0.315074:0.360655:0.073089:0.360655:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
L:@0.079466:0.402413:0.085393:0.402413:0.085393:0.385993:0.079466:0.385993:0.000000
arco:@0.087510:0.407392:0.110500:0.407392:0.110500:0.390972:0.087510:0.390972:0.000000:0.000000:0.000000:0.000000
=  rθ:@0.112470:0.403246:0.140375:0.403246:0.140375:0.386826:0.112470:0.386826:0.000000:0.000000:0.000000:0.000000:0.000000
si θ está dado en radianes:@0.200622:0.403842:0.340832:0.403842:0.340832:0.387422:0.200622:0.387422:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
L:@0.079466:0.433062:0.085393:0.433062:0.085393:0.416642:0.079466:0.416642:0.000000
arco:@0.087510:0.438041:0.110500:0.438041:0.110500:0.421621:0.087510:0.421621:0.000000:0.000000:0.000000:0.000000
= :@0.112470:0.433894:0.126147:0.433894:0.126147:0.417474:0.112470:0.417474:0.000000:0.000000
si θ está dado en grados:@0.200622:0.434491:0.330890:0.434491:0.330890:0.418071:0.200622:0.418071:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
θ:@0.138848:0.427016:0.145769:0.427016:0.145769:0.410596:0.138848:0.410596:0.000000
360˚:@0.128908:0.443103:0.155690:0.443103:0.155690:0.426669:0.128908:0.426669:0.000000:0.000000:0.000000:0.000000
2:@0.158685:0.434562:0.165772:0.434562:0.165772:0.418129:0.158685:0.418129:0.000000
πr:@0.165772:0.434562:0.177626:0.434562:0.177626:0.418142:0.165772:0.418142:0.000000:0.000000
Ejemplo 2:@0.073089:0.479972:0.148871:0.479972:0.148871:0.463302:0.073089:0.463302:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Para un arco que abarca un ángulo central de  /3 en una circunferencia con un radio de :@0.073089:0.503756:0.710613:0.503756:0.710613:0.487322:0.073089:0.487322:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p:@0.402486:0.503201:0.414764:0.503201:0.414764:0.489486:0.402486:0.489486:0.000000
7 cm, la longitud del arco es: :@0.073089:0.529093:0.282990:0.529093:0.282990:0.512659:0.073089:0.512659:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
L:@0.282715:0.525636:0.288920:0.525636:0.288920:0.508446:0.282715:0.508446:0.000000
arco:@0.291137:0.530847:0.315206:0.530847:0.315206:0.513656:0.291137:0.513656:0.000000:0.000000:0.000000:0.000000
=   cm x :@0.317268:0.526506:0.376450:0.524705:0.376450:0.507515:0.317268:0.509315:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
7:@0.337291:0.524705:0.344711:0.524705:0.344711:0.507500:0.337291:0.507500:0.000000
π:@0.382986:0.518851:0.390578:0.518851:0.390578:0.501660:0.382986:0.501660:0.000000
3:@0.383063:0.535461:0.390482:0.535461:0.390482:0.518256:0.383063:0.518256:0.000000
=:@0.398138:0.525532:0.409624:0.525532:0.409624:0.508341:0.398138:0.508341:0.000000
7,33:@0.409624:0.525532:0.435621:0.525532:0.435621:0.508326:0.409624:0.508326:0.000000:0.000000:0.000000:0.000000
 cm.:@0.435620:0.525532:0.459208:0.525532:0.459208:0.508341:0.435620:0.508341:0.000000:0.000000:0.000000:0.000000
Para un arco que abarca un ángulo central de 60° en una circunferencia con un radio de :@0.073089:0.556458:0.710729:0.556458:0.710729:0.540024:0.073089:0.540024:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
7 cm, la longitud del arco es: :@0.073089:0.582462:0.282990:0.582462:0.282990:0.566028:0.073089:0.566028:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
L:@0.288479:0.580666:0.295326:0.580666:0.295326:0.561697:0.288479:0.561697:0.000000
arco:@0.297773:0.586417:0.324333:0.586417:0.324333:0.567448:0.297773:0.567448:0.000000:0.000000:0.000000:0.000000
= :@0.326608:0.581626:0.342408:0.581626:0.342408:0.562658:0.326608:0.562658:0.000000:0.000000
60˚:@0.364915:0.573180:0.387668:0.573180:0.387668:0.554195:0.364915:0.554195:0.000000:0.000000:0.000000
360˚:@0.360811:0.591508:0.391751:0.591508:0.391751:0.572523:0.360811:0.572523:0.000000:0.000000:0.000000:0.000000
1:@0.523416:0.573180:0.531603:0.573180:0.531603:0.554195:0.523416:0.554195:0.000000
6:@0.523416:0.591508:0.531603:0.591508:0.531603:0.572523:0.523416:0.572523:0.000000
x  2π  x  7:@0.410304:0.579717:0.469674:0.579717:0.469674:0.560732:0.410304:0.560732:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 cm:@0.469674:0.579717:0.491641:0.579717:0.491641:0.560748:0.469674:0.560748:0.000000:0.000000:0.000000
 =:@0.491641:0.579717:0.507653:0.579717:0.507653:0.560732:0.491641:0.560732:0.000000:0.000000
x  14  = 7,33:@0.547694:0.579717:0.637515:0.579717:0.637515:0.560732:0.547694:0.560732:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
π :@0.577975:0.579717:0.589479:0.579717:0.589479:0.560748:0.577975:0.560748:0.000000:0.000000
 cm.:@0.637516:0.579717:0.663542:0.579717:0.663542:0.560748:0.637516:0.560748:0.000000:0.000000:0.000000:0.000000
Área del círculo. El área de un círculo se calcula usando la fórmula A= r:@0.073089:0.609825:0.588364:0.609825:0.588364:0.593391:0.073089:0.593391:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p:@0.570748:0.609270:0.583025:0.609270:0.583025:0.595555:0.570748:0.595555:0.000000
2:@0.588283:0.603761:0.593520:0.603761:0.593520:0.594180:0.588283:0.594180:0.000000
Ejemplo 3:@0.073089:0.640761:0.148872:0.640761:0.148872:0.624091:0.073089:0.624091:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Para un círculo con un radio de 7 cm, el área es:  = × (7 cm) = 49 cm = 153,94 cm . :@0.073089:0.664545:0.697144:0.664550:0.697144:0.648116:0.073089:0.648111:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.418924:0.664545:0.428809:0.664545:0.428809:0.648139:0.418924:0.648139:0.000000
p:@0.439632:0.663990:0.451910:0.663990:0.451910:0.650275:0.439632:0.650275:0.000000
2 :@0.512231:0.658486:0.519775:0.658486:0.519775:0.648905:0.512231:0.648905:0.000000:0.000000
p:@0.552359:0.663995:0.564637:0.663995:0.564637:0.650280:0.552359:0.650280:0.000000
2 :@0.587678:0.658486:0.595222:0.658486:0.595222:0.648905:0.587678:0.648905:0.000000:0.000000
2:@0.684719:0.658486:0.689956:0.658486:0.689956:0.648905:0.684719:0.648905:0.000000
Área de un sector circular:@0.073083:0.691912:0.257163:0.691912:0.257163:0.675478:0.073083:0.675478:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.079466:0.723830:0.087289:0.723830:0.087289:0.707410:0.079466:0.707410:0.000000
sector:@0.087510:0.728809:0.120054:0.728809:0.120054:0.712389:0.087510:0.712389:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
= :@0.125852:0.724662:0.139529:0.724662:0.139529:0.708242:0.125852:0.708242:0.000000:0.000000
r  θ:@0.149925:0.717350:0.172314:0.717350:0.172314:0.700930:0.149925:0.700930:0.000000:0.000000:0.000000:0.000000
2 :@0.157231:0.712937:0.165393:0.712937:0.165393:0.699492:0.157231:0.699492:0.000000:0.000000
2:@0.157570:0.733215:0.164657:0.733215:0.164657:0.716781:0.157570:0.716781:0.000000
A:@0.079468:0.764446:0.087291:0.764446:0.087291:0.748026:0.079468:0.748026:0.000000
sector:@0.087512:0.769425:0.120056:0.769425:0.120056:0.753005:0.087512:0.753005:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
= :@0.125855:0.765279:0.139531:0.765279:0.139531:0.748859:0.125855:0.748859:0.000000:0.000000
θ:@0.157662:0.757956:0.164583:0.757956:0.164583:0.741536:0.157662:0.741536:0.000000
360˚:@0.147722:0.773821:0.174505:0.773821:0.174505:0.757388:0.147722:0.757388:0.000000:0.000000:0.000000:0.000000
πr :@0.189065:0.763323:0.203625:0.763323:0.203625:0.746903:0.189065:0.746903:0.000000:0.000000:0.000000
2:@0.203622:0.758905:0.209435:0.758905:0.209435:0.745471:0.203622:0.745471:0.000000
          si   está dado en radianes:@0.222289:0.725065:0.448458:0.725065:0.448458:0.708631:0.222289:0.708631:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
u:@0.276295:0.724510:0.285499:0.724510:0.285499:0.710794:0.276295:0.710794:0.000000
A:@0.079466:0.715884:0.087289:0.715884:0.087289:0.699464:0.079466:0.699464:0.000000
sector:@0.087510:0.720862:0.120054:0.720862:0.120054:0.704443:0.087510:0.704443:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
= :@0.125852:0.716716:0.139529:0.716716:0.139529:0.700296:0.125852:0.700296:0.000000:0.000000
r  θ:@0.149929:0.709407:0.172314:0.709402:0.172314:0.692982:0.149929:0.692987:0.000000:0.000000:0.000000:0.000000
2 :@0.157231:0.704990:0.165393:0.704990:0.165393:0.691544:0.157231:0.691544:0.000000:0.000000
2:@0.157570:0.725268:0.164657:0.725268:0.164657:0.708834:0.157570:0.708834:0.000000
A:@0.079468:0.756499:0.087292:0.756499:0.087292:0.740079:0.079468:0.740079:0.000000
sector:@0.087512:0.761477:0.120056:0.761477:0.120056:0.745057:0.087512:0.745057:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
= :@0.125855:0.757331:0.139531:0.757331:0.139531:0.740911:0.125855:0.740911:0.000000:0.000000
θ:@0.157659:0.750012:0.164580:0.750012:0.164580:0.733592:0.157659:0.733592:0.000000
360˚:@0.147719:0.765877:0.174502:0.765877:0.174502:0.749444:0.147719:0.749444:0.000000:0.000000:0.000000:0.000000
πr :@0.189062:0.755379:0.203622:0.755379:0.203622:0.738959:0.189062:0.738959:0.000000:0.000000:0.000000
2:@0.203622:0.750958:0.209435:0.750958:0.209435:0.737523:0.203622:0.737523:0.000000
      si   está dado en grados:@0.222289:0.757322:0.421468:0.757322:0.421468:0.740888:0.222289:0.740888:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
u:@0.260502:0.756767:0.269706:0.756767:0.269706:0.743052:0.260502:0.743052:0.000000
Ejemplo 4:@0.073098:0.788262:0.148880:0.788262:0.148880:0.771592:0.073098:0.771592:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Para un sector circular que abarca un ángulo central de  /3 en una circunferencia con un :@0.073098:0.812046:0.710324:0.812046:0.710324:0.795612:0.073098:0.795612:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p:@0.467676:0.811491:0.479953:0.811491:0.479953:0.797775:0.467676:0.797775:0.000000
radio de 7 cm, el área del sector circular es::@0.073098:0.828688:0.381390:0.828688:0.381390:0.812254:0.073098:0.812254:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.079466:0.863029:0.087289:0.863029:0.087289:0.846609:0.079466:0.846609:0.000000
sector:@0.087510:0.868008:0.120054:0.868008:0.120054:0.851588:0.087510:0.851588:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
= :@0.125521:0.863861:0.139197:0.863861:0.139197:0.847441:0.125521:0.847441:0.000000:0.000000
= :@0.245389:0.863861:0.259065:0.863861:0.259065:0.847441:0.245389:0.847441:0.000000:0.000000
= :@0.330614:0.863861:0.344291:0.863861:0.344291:0.847441:0.330614:0.847441:0.000000:0.000000
(7  )  x:@0.147592:0.854026:0.205120:0.854026:0.205120:0.837592:0.147592:0.837592:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cm:@0.162226:0.854026:0.178534:0.854026:0.178534:0.837606:0.162226:0.837606:0.000000:0.000000
2:@0.186081:0.849614:0.191880:0.849614:0.191880:0.836168:0.186081:0.836168:0.000000
2:@0.184927:0.874926:0.192014:0.874926:0.192014:0.858492:0.184927:0.858492:0.000000
6:@0.289554:0.874926:0.296640:0.874926:0.296640:0.858492:0.289554:0.858492:0.000000
3:@0.218287:0.858837:0.225374:0.858837:0.225374:0.842403:0.218287:0.842403:0.000000
25.66 :@0.349458:0.862207:0.384266:0.862207:0.384266:0.845773:0.349458:0.845773:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cm:@0.384266:0.862207:0.400574:0.862207:0.400574:0.845787:0.384266:0.845787:0.000000:0.000000
2:@0.400578:0.857793:0.406376:0.857793:0.406376:0.844347:0.400578:0.844347:0.000000
π:@0.218418:0.842412:0.225670:0.842412:0.225670:0.825992:0.218418:0.825992:0.000000
49:@0.269977:0.854935:0.284150:0.854935:0.284150:0.838501:0.269977:0.838501:0.000000:0.000000
π cm:@0.284150:0.854935:0.310417:0.854935:0.310417:0.838515:0.284150:0.838515:0.000000:0.000000:0.000000:0.000000
2:@0.310416:0.850526:0.316214:0.850526:0.316214:0.837080:0.310416:0.837080:0.000000
Para un sector circular que abarca un ángulo central de 60° en una circunferencia con un :@0.073089:0.892966:0.710650:0.892966:0.710650:0.876532:0.073089:0.876532:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
radio de 7 cm, el área del sector circular es::@0.073089:0.909607:0.381386:0.909607:0.381386:0.893174:0.073089:0.893174:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.096461:0.933878:0.103511:0.933878:0.103511:0.919081:0.096461:0.919081:0.000000
sector:@0.103710:0.938365:0.133039:0.938365:0.133039:0.923568:0.103710:0.923568:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
= :@0.137966:0.934628:0.150291:0.934628:0.150291:0.919831:0.137966:0.919831:0.000000:0.000000
= :@0.245991:0.934628:0.258316:0.934628:0.258316:0.919831:0.245991:0.919831:0.000000:0.000000
= :@0.333761:0.934628:0.346087:0.934628:0.346087:0.919831:0.333761:0.919831:0.000000:0.000000
60˚:@0.159289:0.928038:0.177039:0.928038:0.177039:0.913228:0.159289:0.913228:0.000000:0.000000:0.000000
360˚:@0.156088:0.942435:0.180224:0.942435:0.180224:0.927625:0.156088:0.927625:0.000000:0.000000:0.000000:0.000000
x (7  ) :@0.185765:0.934037:0.238444:0.933458:0.238444:0.918648:0.185765:0.919227:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
6:@0.269645:0.942699:0.276032:0.942699:0.276032:0.927889:0.269645:0.927889:0.000000
1:@0.269645:0.928527:0.276032:0.928527:0.276032:0.913717:0.269645:0.913717:0.000000
25.66 :@0.350764:0.933138:0.382133:0.933138:0.382133:0.918328:0.350764:0.918328:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cm:@0.382133:0.933138:0.396830:0.933138:0.396830:0.918341:0.382133:0.918341:0.000000:0.000000
2:@0.396821:0.929161:0.402047:0.929161:0.402047:0.917043:0.396821:0.917043:0.000000
49:@0.287485:0.933675:0.300259:0.933675:0.300259:0.918865:0.287485:0.918865:0.000000:0.000000
π cm:@0.300259:0.933675:0.323931:0.933675:0.323931:0.918878:0.300259:0.918878:0.000000:0.000000:0.000000:0.000000
2:@0.323928:0.929699:0.329154:0.929699:0.329154:0.917581:0.323928:0.917581:0.000000
π  cm:@0.194783:0.933458:0.231643:0.933458:0.231643:0.918660:0.194783:0.918660:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.238443:0.929481:0.243669:0.929481:0.243669:0.917364:0.238443:0.917364:0.000000
Interdisciplinaria :@0.740294:0.256466:0.863703:0.256466:0.863703:0.241059:0.740294:0.241059:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Matemática, :@0.740294:0.271595:0.825155:0.271595:0.825155:0.256655:0.740294:0.256655:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
física, geografía y :@0.740294:0.286724:0.856136:0.286724:0.856136:0.271784:0.740294:0.271784:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
navegación:@0.740294:0.301853:0.817239:0.301853:0.817239:0.286913:0.740294:0.286913:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
En sistemas de :@0.740294:0.320735:0.841109:0.320735:0.841109:0.305795:0.740294:0.305795:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
navegación como las :@0.740294:0.335864:0.883991:0.335864:0.883991:0.320924:0.740294:0.320924:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
brújulas, las propiedades :@0.740294:0.350993:0.906598:0.350993:0.906598:0.336053:0.740294:0.336053:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
angulares de las :@0.740294:0.366122:0.849691:0.366122:0.849691:0.351182:0.740294:0.351182:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
circunferencias ayudan a :@0.740294:0.381251:0.906655:0.381251:0.906655:0.366311:0.740294:0.366311:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
determinar la orientación :@0.740294:0.396379:0.911110:0.396379:0.911110:0.381440:0.740294:0.381440:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de objetos o movimientos. :@0.740294:0.411508:0.920308:0.411508:0.920308:0.396569:0.740294:0.396569:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La brújula mide ángulos :@0.740294:0.426637:0.902913:0.426637:0.902913:0.411698:0.740294:0.411698:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en una circunferencia :@0.740294:0.441766:0.886143:0.441766:0.886143:0.426826:0.740294:0.426826:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de 360 grados, con el :@0.740294:0.456895:0.884461:0.456895:0.884461:0.441955:0.740294:0.441955:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
norte a 0°. Estos ángulos :@0.740294:0.472024:0.904517:0.472024:0.904517:0.457084:0.740294:0.457084:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
indican direcciones como :@0.740294:0.487153:0.913936:0.487153:0.913936:0.472213:0.740294:0.472213:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
norte (0°), este (90°), sur :@0.740294:0.502282:0.898787:0.502282:0.898787:0.487342:0.740294:0.487342:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(180°) y oeste (270°). La :@0.740294:0.517411:0.895393:0.517411:0.895393:0.502471:0.740294:0.502471:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
orientación de un objeto :@0.740294:0.532540:0.908422:0.532540:0.908422:0.517600:0.740294:0.517600:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
se describe con un rumbo :@0.740294:0.547669:0.917115:0.547669:0.917115:0.532729:0.740294:0.532729:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
o azimut, que se basa :@0.740294:0.562798:0.885795:0.562798:0.885795:0.547858:0.740294:0.547858:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en estos ángulos para :@0.740294:0.577927:0.887881:0.577927:0.887881:0.562987:0.740294:0.562987:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
calcular posiciones y :@0.740294:0.593056:0.879419:0.593056:0.879419:0.578116:0.740294:0.578116:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
direcciones en el plano.:@0.740294:0.608185:0.895472:0.608185:0.895472:0.593245:0.740294:0.593245:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
MUESTRA EDITORIAL:@0.248902:0.947499:0.888171:0.113285:0.743922:0.050540:0.104653:0.884754:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Muestra editorial solo para fines didácticos – Prohibida su venta:@0.095585:0.659700:0.095585:0.341447:0.077558:0.341447:0.077558:0.659700:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000