73:@0.921538:0.966074:0.940353:0.966074:0.940353:0.949450:0.921538:0.949450:0.000000:0.000000
Ejemplo 1:@0.096359:0.133446:0.165865:0.133446:0.165865:0.118333:0.096359:0.118333:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Calcular el área de los polígonos de las figuras.:@0.096359:0.157484:0.434980:0.157484:0.434980:0.141815:0.096359:0.141815:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a)    :@0.124848:0.181203:0.160782:0.181203:0.160782:0.164068:0.124848:0.164068:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.216970:0.181203:0.220692:0.181203:0.220692:0.164068:0.216970:0.164068:0.000000
             b) :@0.277281:0.181203:0.346053:0.181203:0.346053:0.164068:0.277281:0.164068:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
                              :@0.397890:0.181203:0.514040:0.181203:0.514040:0.164068:0.397890:0.164068:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c):@0.514040:0.181203:0.528137:0.181203:0.528137:0.164068:0.514040:0.164068:0.000000:0.000000
Solución:@0.096359:0.267155:0.157020:0.267155:0.157020:0.252042:0.096359:0.252042:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a) :@0.124851:0.291195:0.144090:0.291195:0.144090:0.274059:0.124851:0.274059:0.000000:0.000000:0.000000
De acuerdo con el número de lados, se trata de un octágono. Por lo tanto, :@0.153341:0.291195:0.698725:0.291195:0.698725:0.275525:0.153341:0.275525:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
su perímetro será igual a::@0.153341:0.307791:0.336546:0.307791:0.336546:0.292121:0.153341:0.292121:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
P:@0.159286:0.332100:0.168058:0.332100:0.168058:0.315738:0.159286:0.315738:0.000000
l P:@0.194888:0.332100:0.216117:0.332100:0.216117:0.315738:0.194888:0.315738:0.000000:0.000000:0.000000
cmP:@0.273574:0.332100:0.316695:0.332100:0.316695:0.315738:0.273574:0.315738:0.000000:0.000000:0.000000
cm:@0.368863:0.332100:0.390774:0.332100:0.390774:0.315738:0.368863:0.315738:0.000000:0.000000
8;:@0.185730:0.332100:0.203383:0.332100:0.203383:0.316430:0.185730:0.316430:0.000000:0.000000
8(18:@0.233789:0.332100:0.264932:0.332100:0.264932:0.316430:0.233789:0.316430:0.000000:0.000000:0.000000:0.000000
);:@0.296148:0.332100:0.303961:0.332100:0.303961:0.316430:0.296148:0.316430:0.000000:0.000000
144:@0.333206:0.332100:0.359779:0.332100:0.359779:0.316430:0.333206:0.316430:0.000000:0.000000:0.000000
=:@0.172333:0.332777:0.134390:0.332777:0.134390:0.317204:0.172333:0.317204:0.000000
=:@0.220392:0.332777:0.182450:0.332777:0.182450:0.317204:0.220392:0.317204:0.000000
=:@0.320952:0.332777:0.331068:0.332777:0.331068:0.317204:0.320952:0.317204:0.000000
 :@0.124851:0.357985:0.128574:0.357985:0.128574:0.340849:0.124851:0.340849:0.000000
Reemplazamos este :@0.153341:0.357985:0.302918:0.357985:0.302918:0.342315:0.153341:0.342315:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
resultado en la fórmula del área de un :@0.304668:0.357985:0.592674:0.357985:0.592674:0.342315:0.304668:0.342315:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
decágono. Su :@0.594424:0.357985:0.698670:0.357985:0.698670:0.342315:0.594424:0.342315:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
perímetro es::@0.153341:0.374581:0.247467:0.374581:0.247467:0.358912:0.153341:0.358912:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.124851:0.422808:0.128887:0.422808:0.128887:0.407138:0.124851:0.407138:0.000000
 :@0.128887:0.422808:0.132609:0.422808:0.132609:0.405672:0.128887:0.405672:0.000000
A:@0.157426:0.407443:0.167322:0.407443:0.167322:0.391082:0.157426:0.391082:0.000000
Pap:@0.190615:0.398481:0.235375:0.398481:0.235375:0.382120:0.190615:0.382120:0.000000:0.000000:0.000000
A:@0.247261:0.407443:0.257157:0.407443:0.257157:0.391082:0.247261:0.391082:0.000000
m:@0.308883:0.398481:0.323515:0.398481:0.323515:0.382120:0.308883:0.382120:0.000000
m:@0.380346:0.398481:0.394977:0.398481:0.394977:0.382120:0.380346:0.382120:0.000000
A:@0.409131:0.407443:0.419027:0.407443:0.419027:0.391082:0.409131:0.391082:0.000000
cm:@0.504992:0.407443:0.526896:0.407443:0.526896:0.391082:0.504992:0.391082:0.000000:0.000000
2:@0.208724:0.417941:0.217717:0.417941:0.217717:0.402271:0.208724:0.402271:0.000000
;:@0.238614:0.407443:0.241820:0.407443:0.241820:0.391774:0.238614:0.391774:0.000000
144:@0.273589:0.398481:0.300162:0.398481:0.300162:0.382812:0.273589:0.382812:0.000000:0.000000:0.000000
21,73:@0.336778:0.398481:0.373946:0.398481:0.373946:0.382812:0.336778:0.382812:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.330402:0.417927:0.339394:0.417927:0.339394:0.402257:0.330402:0.402257:0.000000
;:@0.397884:0.407430:0.401090:0.407430:0.401090:0.391760:0.397884:0.391760:0.000000
1 564,56:@0.434002:0.407430:0.496269:0.407430:0.496269:0.391760:0.434002:0.391760:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.527132:0.399781:0.532343:0.399781:0.532343:0.390700:0.527132:0.390700:0.000000
=:@0.175750:0.408121:0.185867:0.408121:0.185867:0.392548:0.175750:0.392548:0.000000
×:@0.204700:0.399159:0.214817:0.399159:0.214817:0.383586:0.204700:0.383586:0.000000
=:@0.259872:0.408121:0.269989:0.408121:0.269989:0.392548:0.259872:0.392548:0.000000
×:@0.324940:0.399159:0.335057:0.399159:0.335057:0.383586:0.324940:0.383586:0.000000
=:@0.421741:0.408121:0.431858:0.408121:0.431858:0.392548:0.421741:0.392548:0.000000
b) :@0.124835:0.446542:0.145216:0.446542:0.145216:0.429406:0.124835:0.429406:0.000000:0.000000:0.000000
La figura muestra que se trata de un decágono.:@0.153324:0.446542:0.499579:0.446542:0.499579:0.430872:0.153324:0.430872:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
  :@0.096346:0.476056:0.104417:0.476056:0.104417:0.460386:0.096346:0.460386:0.000000:0.000000
 :@0.124838:0.476056:0.128874:0.476056:0.128874:0.460386:0.124838:0.460386:0.000000
P:@0.159286:0.470873:0.168058:0.470873:0.168058:0.454512:0.159286:0.454512:0.000000
l P:@0.202536:0.470873:0.223764:0.470873:0.223764:0.454512:0.202536:0.454512:0.000000:0.000000:0.000000
m P:@0.280061:0.470873:0.315897:0.470873:0.315897:0.454512:0.280061:0.454512:0.000000:0.000000:0.000000
m:@0.358539:0.470873:0.373171:0.470873:0.373171:0.454512:0.358539:0.454512:0.000000
10 ;:@0.184570:0.470873:0.211014:0.470873:0.211014:0.455203:0.184570:0.455203:0.000000:0.000000:0.000000:0.000000
10(5:@0.240259:0.470873:0.272507:0.470873:0.272507:0.455203:0.240259:0.455203:0.000000:0.000000:0.000000:0.000000
);:@0.295339:0.470873:0.303152:0.470873:0.303152:0.455203:0.295339:0.455203:0.000000:0.000000
50:@0.333558:0.470873:0.351340:0.470873:0.351340:0.455203:0.333558:0.455203:0.000000:0.000000
=:@0.172316:0.471551:0.126726:0.471551:0.126726:0.455978:0.172316:0.455978:0.000000
=:@0.228023:0.471551:0.182433:0.471551:0.182433:0.455978:0.228023:0.455978:0.000000
=:@0.320161:0.471551:0.330278:0.471551:0.330278:0.455978:0.320161:0.455978:0.000000
 :@0.124846:0.499778:0.128882:0.499778:0.128882:0.484109:0.124846:0.484109:0.000000
Reemplazando tenemos::@0.153336:0.499778:0.335988:0.499778:0.335988:0.484109:0.153336:0.484109:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
  :@0.096357:0.549858:0.104429:0.549858:0.104429:0.534188:0.096357:0.534188:0.000000:0.000000
 :@0.124851:0.549858:0.128886:0.549858:0.128886:0.534188:0.124851:0.534188:0.000000
A:@0.160752:0.532502:0.170647:0.532502:0.170647:0.516141:0.160752:0.516141:0.000000
Pap:@0.193940:0.523540:0.238701:0.523540:0.238701:0.507179:0.193940:0.507179:0.000000:0.000000:0.000000
A:@0.250587:0.532502:0.260482:0.532502:0.260482:0.516141:0.250587:0.516141:0.000000
m:@0.304193:0.523540:0.318824:0.523540:0.318824:0.507179:0.304193:0.507179:0.000000
m:@0.361889:0.523540:0.376521:0.523540:0.376521:0.507179:0.361889:0.507179:0.000000
A:@0.390678:0.532502:0.400574:0.532502:0.400574:0.516141:0.390678:0.516141:0.000000
m:@0.463394:0.532502:0.478025:0.532502:0.478025:0.516141:0.463394:0.516141:0.000000
2:@0.212056:0.542993:0.221049:0.542993:0.221049:0.527323:0.212056:0.527323:0.000000
;:@0.241946:0.532496:0.245152:0.532496:0.245152:0.516826:0.241946:0.516826:0.000000
50:@0.278064:0.523534:0.295846:0.523534:0.295846:0.507864:0.278064:0.507864:0.000000:0.000000
7,7:@0.332720:0.523534:0.353543:0.523534:0.353543:0.507864:0.332720:0.507864:0.000000:0.000000:0.000000
2:@0.322825:0.542979:0.331817:0.542979:0.331817:0.527310:0.322825:0.527310:0.000000
;:@0.379416:0.532482:0.382622:0.532482:0.382622:0.516812:0.379416:0.516812:0.000000
192,5:@0.415534:0.532482:0.455835:0.532482:0.455835:0.516812:0.415534:0.516812:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.478262:0.524841:0.483473:0.524841:0.483473:0.515760:0.478262:0.515760:0.000000
=:@0.179074:0.533180:0.189191:0.533180:0.189191:0.517607:0.179074:0.517607:0.000000
×:@0.208024:0.524218:0.218141:0.524218:0.218141:0.508645:0.208024:0.508645:0.000000
=:@0.263196:0.533180:0.273313:0.533180:0.273313:0.517607:0.263196:0.517607:0.000000
×:@0.320266:0.524218:0.330383:0.524218:0.330383:0.508645:0.320266:0.508645:0.000000
=:@0.403301:0.533180:0.413418:0.533180:0.413418:0.517607:0.403301:0.517607:0.000000
c) :@0.124860:0.573578:0.142679:0.573578:0.142679:0.556442:0.124860:0.556442:0.000000:0.000000:0.000000
Para calcular el área de este octógono irregular, es necesario descomponerlo :@0.153349:0.573578:0.698748:0.573578:0.698748:0.557908:0.153349:0.557908:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en figuras conocidas. Si trazamos una línea vertical, obtenemos :@0.153349:0.590175:0.698696:0.590175:0.698696:0.574505:0.153349:0.574505:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
un cuadrado y un hexágono regular, cuyos lados miden 3 :@0.153349:0.606771:0.578231:0.606771:0.578231:0.591101:0.153349:0.591101:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cm:@0.578231:0.606771:0.600529:0.606771:0.600529:0.590410:0.578231:0.590410:0.000000:0.000000
.:@0.600529:0.606771:0.603735:0.606771:0.603735:0.591101:0.600529:0.591101:0.000000
Calculamos el área del cuadrado.:@0.397939:0.630490:0.638344:0.630490:0.638344:0.614820:0.397939:0.614820:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.401986:0.654882:0.411882:0.654882:0.411882:0.638520:0.401986:0.638520:0.000000
l A:@0.434659:0.654882:0.465746:0.654882:0.465746:0.638520:0.434659:0.638520:0.000000:0.000000:0.000000
cm:@0.510709:0.654882:0.532620:0.654882:0.532620:0.638520:0.510709:0.638520:0.000000:0.000000
A:@0.556723:0.654882:0.566619:0.654882:0.566619:0.638520:0.556723:0.638520:0.000000
cm:@0.607086:0.654882:0.628996:0.654882:0.628996:0.638520:0.607086:0.638520:0.000000:0.000000
;:@0.447208:0.654882:0.450414:0.654882:0.450414:0.639212:0.447208:0.639212:0.000000
(3:@0.488099:0.654882:0.502786:0.654882:0.502786:0.639212:0.488099:0.639212:0.000000:0.000000
) ;:@0.533265:0.654882:0.548670:0.654882:0.548670:0.639212:0.533265:0.639212:0.000000:0.000000:0.000000
9:@0.589395:0.654882:0.598388:0.654882:0.598388:0.639212:0.589395:0.639212:0.000000
2:@0.439889:0.647219:0.445100:0.647219:0.445100:0.638138:0.439889:0.638138:0.000000
2:@0.538152:0.647219:0.543364:0.647219:0.543364:0.638138:0.538152:0.638138:0.000000
2:@0.629239:0.647219:0.634450:0.647219:0.634450:0.638138:0.629239:0.638138:0.000000
:@0.410306:0.657391:0.362515:0.657391:0.362515:0.647684:0.410306:0.647684:0.000000
:@0.464174:0.657391:0.416383:0.657391:0.416383:0.647684:0.464174:0.647684:0.000000
:@0.565054:0.657391:0.571131:0.657391:0.571131:0.647684:0.565054:0.647684:0.000000
=:@0.421252:0.655559:0.377504:0.655559:0.377504:0.639986:0.421252:0.639986:0.000000
=:@0.475116:0.655559:0.431368:0.655559:0.431368:0.639986:0.475116:0.639986:0.000000
=:@0.576007:0.655559:0.586124:0.655559:0.586124:0.639986:0.576007:0.639986:0.000000
 :@0.124861:0.714546:0.128897:0.714546:0.128897:0.698876:0.124861:0.698876:0.000000
Para calcular :@0.153351:0.714546:0.248824:0.714546:0.248824:0.698876:0.153351:0.698876:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
el área del hexágono, debemos calcular primero la apotema, :@0.249156:0.714546:0.698713:0.714546:0.698713:0.698876:0.249156:0.698876:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tomando en cuenta que el radio de  la  circunferencia que inscribe  a un :@0.153351:0.731142:0.698818:0.731142:0.698818:0.715472:0.153351:0.715472:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
hexágono es igual a su lado.:@0.153351:0.747738:0.358395:0.747738:0.358395:0.732069:0.153351:0.732069:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.096372:0.771457:0.100408:0.771457:0.100408:0.755788:0.096372:0.755788:0.000000
ap:@0.400886:0.799491:0.419369:0.799491:0.419369:0.783130:0.400886:0.783130:0.000000:0.000000
cm:@0.469676:0.799491:0.491587:0.799491:0.491587:0.783130:0.469676:0.783130:0.000000:0.000000
ap:@0.567564:0.799491:0.586047:0.799491:0.586047:0.783130:0.567564:0.783130:0.000000:0.000000
cm:@0.633424:0.799491:0.655335:0.799491:0.655335:0.783130:0.633424:0.783130:0.000000:0.000000
(3:@0.448208:0.799491:0.462913:0.799491:0.462913:0.783822:0.448208:0.783822:0.000000:0.000000
):@0.492231:0.799491:0.497115:0.799491:0.497115:0.783822:0.492231:0.783822:0.000000
(1,5) ;:@0.519081:0.799491:0.560635:0.799491:0.560635:0.783822:0.519081:0.783822:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2,6:@0.602816:0.799491:0.625887:0.799491:0.625887:0.783822:0.602816:0.783822:0.000000:0.000000:0.000000
2:@0.497108:0.791829:0.502320:0.791829:0.502320:0.782748:0.497108:0.782748:0.000000
2:@0.548627:0.791829:0.553838:0.791829:0.553838:0.782748:0.548627:0.782748:0.000000
=:@0.422717:0.800169:0.432834:0.800169:0.432834:0.784596:0.422717:0.784596:0.000000
−:@0.506637:0.800169:0.516754:0.800169:0.516754:0.784596:0.506637:0.784596:0.000000
=:@0.589395:0.800169:0.599512:0.800169:0.599512:0.784596:0.589395:0.784596:0.000000
A:@0.341678:0.840961:0.351573:0.840961:0.351573:0.824600:0.341678:0.824600:0.000000
Pap:@0.374866:0.831999:0.419627:0.831999:0.419627:0.815638:0.374866:0.815638:0.000000:0.000000:0.000000
A:@0.431512:0.840961:0.441408:0.840961:0.441408:0.824600:0.431512:0.824600:0.000000
cm:@0.500874:0.831999:0.522785:0.831999:0.522785:0.815638:0.500874:0.815638:0.000000:0.000000
m:@0.567472:0.831999:0.582103:0.831999:0.582103:0.815638:0.567472:0.815638:0.000000
A:@0.596261:0.840961:0.606156:0.840961:0.606156:0.824600:0.596261:0.824600:0.000000
cm:@0.661181:0.840961:0.683085:0.840961:0.683085:0.824600:0.661181:0.824600:0.000000:0.000000
2:@0.392979:0.851458:0.401971:0.851458:0.401971:0.835788:0.392979:0.835788:0.000000
;:@0.422868:0.840961:0.426075:0.840961:0.426075:0.825291:0.422868:0.825291:0.000000
63:@0.459355:0.831999:0.492948:0.831999:0.492948:0.816329:0.459355:0.816329:0.000000:0.000000
2,6:@0.536051:0.831999:0.559122:0.831999:0.559122:0.816329:0.536051:0.816329:0.000000:0.000000:0.000000
2:@0.516094:0.851444:0.525086:0.851444:0.525086:0.835774:0.516094:0.835774:0.000000
;:@0.584995:0.840947:0.588201:0.840947:0.588201:0.825277:0.584995:0.825277:0.000000
23,4:@0.622274:0.840947:0.654080:0.840947:0.654080:0.825277:0.622274:0.825277:0.000000:0.000000:0.000000:0.000000
2:@0.683321:0.833299:0.688533:0.833299:0.688533:0.824217:0.683321:0.824217:0.000000
=:@0.360000:0.841639:0.370117:0.841639:0.370117:0.826066:0.360000:0.826066:0.000000
×:@0.388950:0.832676:0.399066:0.832676:0.399066:0.817104:0.388950:0.817104:0.000000
=:@0.444122:0.841639:0.454239:0.841639:0.454239:0.826066:0.444122:0.826066:0.000000
×:@0.471082:0.832676:0.481198:0.832676:0.481198:0.817104:0.471082:0.817104:0.000000
×:@0.524227:0.832676:0.534344:0.832676:0.534344:0.817104:0.524227:0.817104:0.000000
=:@0.608865:0.841639:0.618982:0.841639:0.618982:0.826066:0.608865:0.826066:0.000000
 :@0.124845:0.879727:0.128880:0.879727:0.128880:0.864057:0.124845:0.864057:0.000000
Finalmente, sumamos :@0.153334:0.879727:0.318702:0.879727:0.318702:0.864057:0.153334:0.864057:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
las dos áreas::@0.318702:0.879727:0.413604:0.879727:0.413604:0.864057:0.318702:0.864057:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
  :@0.096356:0.914566:0.104427:0.914565:0.104427:0.898896:0.096356:0.898896:0.000000:0.000000
 :@0.124849:0.914565:0.128884:0.914565:0.128884:0.898896:0.124849:0.898896:0.000000
A:@0.160752:0.903958:0.170647:0.903958:0.170647:0.887597:0.160752:0.887597:0.000000
A:@0.192797:0.903958:0.202693:0.903958:0.202693:0.887597:0.192797:0.887597:0.000000
cm:@0.242202:0.903958:0.264112:0.903958:0.264112:0.887597:0.242202:0.887597:0.000000:0.000000
cm A:@0.325550:0.903958:0.373561:0.903958:0.373561:0.887597:0.325550:0.887597:0.000000:0.000000:0.000000:0.000000
cm:@0.436694:0.903958:0.458603:0.903958:0.458603:0.887597:0.436694:0.887597:0.000000:0.000000
9:@0.224516:0.903958:0.233509:0.903958:0.233509:0.888288:0.224516:0.888288:0.000000
23,4:@0.284664:0.903958:0.316470:0.903958:0.316470:0.888288:0.284664:0.888288:0.000000:0.000000:0.000000:0.000000
;:@0.355021:0.903958:0.358227:0.903958:0.358227:0.888288:0.355021:0.888288:0.000000
32,4:@0.396520:0.903958:0.428750:0.903958:0.428750:0.888288:0.396520:0.888288:0.000000:0.000000:0.000000:0.000000
T:@0.371988:0.905962:0.376698:0.905962:0.376698:0.896480:0.371988:0.896480:0.000000
2:@0.264354:0.896296:0.269565:0.896296:0.269565:0.887214:0.264354:0.887214:0.000000
2:@0.347698:0.896296:0.352909:0.896296:0.352909:0.887214:0.347698:0.887214:0.000000
2:@0.458841:0.896296:0.464052:0.896296:0.464052:0.887214:0.458841:0.887214:0.000000
:@0.169074:0.906467:0.175151:0.906467:0.175151:0.896760:0.169074:0.896760:0.000000
+:@0.179493:0.904636:0.189609:0.904636:0.189609:0.889063:0.179493:0.889063:0.000000
=:@0.211115:0.904636:0.221231:0.904636:0.221231:0.889063:0.211115:0.889063:0.000000
+:@0.272829:0.904636:0.282945:0.904636:0.282945:0.889063:0.272829:0.889063:0.000000
=:@0.383137:0.904636:0.393253:0.904636:0.393253:0.889063:0.383137:0.889063:0.000000
Un polígono regular :@0.733784:0.169228:0.872375:0.169228:0.872375:0.154982:0.733784:0.154982:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
puede ser inscrito en :@0.733784:0.184315:0.877133:0.184315:0.877133:0.170070:0.733784:0.170070:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
una circunferencia y :@0.733784:0.199403:0.871422:0.199403:0.871422:0.185158:0.733784:0.185158:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
dividido en triángulos :@0.733784:0.214491:0.883264:0.214491:0.883264:0.200245:0.733784:0.200245:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
iguales.:@0.733784:0.229578:0.783554:0.229578:0.783554:0.215333:0.733784:0.215333:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.733784:0.350304:0.737453:0.350304:0.737453:0.336059:0.733784:0.336059:0.000000
Apotema = altura de :@0.733784:0.383421:0.875945:0.383421:0.875945:0.369176:0.733784:0.369176:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cada triángulo.:@0.733784:0.398509:0.832655:0.398509:0.832655:0.384264:0.733784:0.384264:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Los tipos de polígonos :@0.733784:0.420726:0.888543:0.420726:0.888543:0.406480:0.733784:0.406480:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
por el número de lados :@0.733784:0.435813:0.892964:0.435813:0.892964:0.421568:0.733784:0.421568:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
son::@0.733784:0.450901:0.760839:0.450901:0.760839:0.436656:0.733784:0.436656:0.000000:0.000000:0.000000:0.000000
 :@0.733784:0.473117:0.737453:0.473117:0.737453:0.458872:0.733784:0.458872:0.000000
 :@0.733784:0.495334:0.737453:0.495334:0.737453:0.481089:0.733784:0.481089:0.000000
Recuerda que...:@0.763836:0.144263:0.885918:0.144263:0.885918:0.127362:0.763836:0.127362:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
21,73 :@0.214999:0.200294:0.243976:0.200294:0.243976:0.189715:0.214999:0.189715:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cm:@0.243976:0.200294:0.258412:0.200294:0.258412:0.189707:0.243976:0.189707:0.000000:0.000000
7,7:@0.410964:0.224753:0.425423:0.224753:0.425423:0.214174:0.410964:0.214174:0.000000:0.000000:0.000000
 m:@0.425423:0.224753:0.437032:0.224753:0.437032:0.214165:0.425423:0.214165:0.000000:0.000000
3 :@0.525170:0.202583:0.533672:0.202583:0.533672:0.192004:0.525170:0.192004:0.000000:0.000000
cm:@0.533672:0.202583:0.548107:0.202583:0.548107:0.191995:0.533672:0.191995:0.000000:0.000000
3:@0.171130:0.650004:0.177146:0.650004:0.177146:0.639426:0.171130:0.639426:0.000000
 cm:@0.177146:0.650004:0.193716:0.650004:0.193716:0.639417:0.177146:0.639417:0.000000:0.000000:0.000000
ap:@0.157621:0.795170:0.169899:0.795170:0.169899:0.784582:0.157621:0.784582:0.000000:0.000000
3:@0.234079:0.786474:0.240095:0.786474:0.240095:0.775896:0.234079:0.775896:0.000000
 cm:@0.240095:0.786474:0.256664:0.786474:0.256664:0.775887:0.240095:0.775887:0.000000:0.000000:0.000000
1,5 :@0.205583:0.838155:0.222528:0.838155:0.222528:0.827576:0.205583:0.827576:0.000000:0.000000:0.000000:0.000000
cm:@0.222528:0.838155:0.236963:0.838155:0.236963:0.827567:0.222528:0.827567:0.000000:0.000000
18 :@0.253064:0.175396:0.267582:0.175396:0.267582:0.164817:0.253064:0.164817:0.000000:0.000000:0.000000
cm:@0.267582:0.175396:0.282017:0.175396:0.282017:0.164808:0.267582:0.164808:0.000000:0.000000
ap:@0.794463:0.264154:0.807280:0.264154:0.807280:0.253399:0.794463:0.253399:0.000000:0.000000
ap:@0.819629:0.264154:0.832446:0.264154:0.832446:0.253399:0.819629:0.253399:0.000000:0.000000
ap:@0.840959:0.270948:0.853777:0.270948:0.853777:0.260193:0.840959:0.260193:0.000000:0.000000
ap:@0.857764:0.286966:0.870581:0.286966:0.870581:0.276211:0.857764:0.276211:0.000000:0.000000
ap:@0.865198:0.303759:0.878016:0.303759:0.878016:0.293004:0.865198:0.293004:0.000000:0.000000
ap:@0.857764:0.320551:0.870581:0.320551:0.870581:0.309796:0.857764:0.309796:0.000000:0.000000
ap:@0.842167:0.337344:0.854985:0.337344:0.854985:0.326589:0.842167:0.326589:0.000000:0.000000
ap:@0.821341:0.347509:0.834158:0.347509:0.834158:0.336754:0.821341:0.336754:0.000000:0.000000
ap:@0.794475:0.347509:0.807292:0.347509:0.807292:0.336754:0.794475:0.336754:0.000000:0.000000
ap:@0.773285:0.339043:0.786102:0.339043:0.786102:0.328288:0.773285:0.328288:0.000000:0.000000
ap:@0.757512:0.323720:0.770330:0.323720:0.770330:0.312965:0.757512:0.312965:0.000000:0.000000
ap:@0.748600:0.303759:0.761417:0.303759:0.761417:0.293004:0.748600:0.293004:0.000000:0.000000
ap:@0.756340:0.283252:0.769157:0.283252:0.769157:0.272497:0.756340:0.272497:0.000000:0.000000
ap:@0.772218:0.269223:0.785035:0.269223:0.785035:0.258468:0.772218:0.258468:0.000000:0.000000
3:@0.743156:0.546531:0.751331:0.546531:0.751331:0.532286:0.743156:0.532286:0.000000
Triángulo:@0.783331:0.545745:0.836177:0.545745:0.836177:0.532925:0.783331:0.532925:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
4:@0.743156:0.564820:0.751331:0.564820:0.751331:0.550575:0.743156:0.550575:0.000000
Cuadrilátero:@0.775506:0.564034:0.844002:0.564034:0.844002:0.551213:0.775506:0.551213:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.743156:0.582889:0.751331:0.582889:0.751331:0.568643:0.743156:0.568643:0.000000
Pentágono:@0.778364:0.582103:0.841145:0.582103:0.841145:0.569282:0.778364:0.569282:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
6:@0.743156:0.600708:0.751331:0.600708:0.751331:0.586463:0.743156:0.586463:0.000000
Hexágono:@0.780113:0.599922:0.839396:0.599922:0.839396:0.587102:0.780113:0.587102:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
7:@0.743156:0.618840:0.751331:0.618840:0.751331:0.604595:0.743156:0.604595:0.000000
Heptágono:@0.777083:0.618054:0.842427:0.618054:0.842427:0.605233:0.777083:0.605233:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
8:@0.743156:0.638188:0.751331:0.638188:0.751331:0.623943:0.743156:0.623943:0.000000
Octágono:@0.780874:0.637403:0.838634:0.637403:0.838634:0.624582:0.780874:0.624582:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
9:@0.743156:0.658628:0.751331:0.658628:0.751331:0.644383:0.743156:0.644383:0.000000
Eneágono:@0.780542:0.657843:0.838966:0.657843:0.838966:0.645022:0.780542:0.645022:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
10:@0.739403:0.678818:0.755083:0.678818:0.755083:0.664573:0.739403:0.664573:0.000000:0.000000
Decágono:@0.779812:0.678032:0.839698:0.678032:0.839698:0.665212:0.779812:0.665212:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
11:@0.739068:0.699879:0.755418:0.699879:0.755418:0.685634:0.739068:0.685634:0.000000:0.000000
Endecágono:@0.772174:0.699093:0.847334:0.699093:0.847334:0.686273:0.772174:0.686273:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
12:@0.739068:0.722433:0.755418:0.722433:0.755418:0.708187:0.739068:0.708187:0.000000:0.000000
Dodecágono:@0.772152:0.721647:0.847357:0.721647:0.847357:0.708826:0.772152:0.708826:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Nombre del:@0.807347:0.523958:0.807347:0.464856:0.788667:0.464856:0.788667:0.523958:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
polígono:@0.825214:0.523958:0.825214:0.478106:0.806533:0.478106:0.806533:0.523958:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejemplo:@0.882194:0.523958:0.882194:0.487164:0.865589:0.487164:0.865589:0.523958:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Número:@0.749585:0.523958:0.749585:0.483108:0.730905:0.483108:0.730905:0.523958:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de lados:@0.764104:0.523958:0.764104:0.481682:0.745424:0.481682:0.745424:0.523958:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5 :@0.398378:0.253806:0.406880:0.253806:0.406880:0.243227:0.398378:0.243227:0.000000:0.000000
m:@0.406880:0.253806:0.416355:0.253806:0.416355:0.243219:0.406880:0.243219:0.000000
 ©:@0.079553:0.731952:0.079553:0.720342:0.061505:0.720342:0.061505:0.731952:0.000000:0.000000
maya:@0.080774:0.720340:0.080774:0.684191:0.055786:0.684191:0.055786:0.720340:0.000000:0.000000:0.000000:0.000000
®EDUCACIÓN – Libro resuelto solo para fines didácticos – Prohibida su reproducción :@0.079553:0.684191:0.079553:0.268044:0.061505:0.268044:0.061505:0.684191:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000