﻿193:@0.890754:0.963104:0.932133:0.963104:0.932133:0.941283:0.890754:0.941283:0.000000:0.000000:0.000000
Matemática:@0.795130:0.956142:0.879896:0.956142:0.879896:0.943479:0.795130:0.943479:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
9.º EGB:@0.829358:0.967458:0.879897:0.967458:0.879897:0.954794:0.829358:0.954794:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
DUA:@0.748004:0.068322:0.791647:0.068322:0.791647:0.048070:0.748004:0.048070:0.000000:0.000000:0.000000
. Representación:@0.791647:0.067693:0.923937:0.067693:0.923937:0.050792:0.791647:0.050792:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Área de cuerpos redondos:@0.096359:0.105227:0.323881:0.105227:0.323881:0.086790:0.096359:0.086790:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Área de un cono :@0.096359:0.128637:0.229184:0.128637:0.229184:0.111736:0.096359:0.111736:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
g:@0.302378:0.185099:0.308776:0.185099:0.308776:0.174808:0.302378:0.174808:0.000000
g:@0.590742:0.189680:0.597140:0.189680:0.597140:0.179390:0.590742:0.179390:0.000000
r:@0.284785:0.232142:0.288668:0.232142:0.288668:0.221852:0.284785:0.221852:0.000000
2:@0.462389:0.179133:0.468652:0.179133:0.468652:0.168770:0.462389:0.168770:0.000000
r:@0.475196:0.244558:0.479079:0.244558:0.479079:0.234268:0.475196:0.234268:0.000000
r:@0.477028:0.179133:0.480910:0.179133:0.480910:0.168843:0.477028:0.168843:0.000000
h:@0.275934:0.196534:0.282453:0.196534:0.282453:0.186244:0.275934:0.186244:0.000000
El gráfico permite observar que el área lateral será igual a la suma del área :@0.096359:0.291021:0.716445:0.291021:0.716445:0.274632:0.096359:0.274632:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de la base (que es un círculo) con la superficie lateral (que es un sector circular).:@0.096359:0.307618:0.676675:0.307618:0.676675:0.291229:0.096359:0.291229:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.350937:0.335582:0.361054:0.335582:0.361054:0.320010:0.350937:0.320010:0.000000
+:@0.386963:0.335582:0.397080:0.335582:0.397080:0.320010:0.386963:0.320010:0.000000
A:@0.331459:0.334905:0.341355:0.334905:0.341355:0.318543:0.331459:0.318543:0.000000
A:@0.365808:0.334905:0.375704:0.334905:0.375704:0.318543:0.365808:0.318543:0.000000
A:@0.401300:0.334905:0.411195:0.334905:0.411195:0.318543:0.401300:0.318543:0.000000
T:@0.339778:0.336910:0.344488:0.336910:0.344488:0.327428:0.339778:0.327428:0.000000
erficie lateral:@0.426262:0.336910:0.476890:0.336910:0.476890:0.327428:0.426262:0.327428:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sup:@0.410036:0.336910:0.425254:0.336910:0.425254:0.327412:0.410036:0.327412:0.000000:0.000000:0.000000
:@0.374334:0.337415:0.382536:0.337415:0.382536:0.327708:0.374334:0.327708:0.000000
El sector circular se calcula con la fórmula :@0.096359:0.372001:0.415671:0.372001:0.415671:0.355612:0.096359:0.355612:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.429757:0.371922:0.439404:0.371922:0.439404:0.357155:0.429757:0.357155:0.000000
S:@0.418422:0.371279:0.426119:0.371279:0.426119:0.355765:0.418422:0.355765:0.000000
LR:@0.443938:0.362781:0.459420:0.362781:0.459420:0.347266:0.443938:0.347266:0.000000:0.000000
2:@0.447734:0.381220:0.456310:0.381220:0.456310:0.365679:0.447734:0.365679:0.000000
, donde L es la longitud del arco, :@0.463161:0.372001:0.716545:0.372001:0.716545:0.355612:0.463161:0.355612:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
el cual es igual al perímetro de la circunferencia, es decir, 2π . Por su parte, R es la :@0.096359:0.390866:0.716501:0.390866:0.716501:0.374477:0.096359:0.374477:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
r:@0.549970:0.390866:0.555259:0.390866:0.555259:0.374505:0.549970:0.374505:0.000000
generatriz, que se simboliza con  .:@0.096359:0.407462:0.348097:0.407462:0.348097:0.391073:0.096359:0.391073:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
g:@0.335622:0.407462:0.344891:0.407462:0.344891:0.391101:0.335622:0.391101:0.000000
Reemplazando tenemos: :@0.096359:0.431181:0.283047:0.431181:0.283047:0.414792:0.096359:0.414792:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
π:@0.318374:0.431670:0.328491:0.431670:0.333056:0.416097:0.322939:0.416097:0.000000
π:@0.369724:0.422708:0.379841:0.422708:0.384406:0.407135:0.374289:0.407135:0.000000
=:@0.306603:0.431670:0.316720:0.431670:0.316720:0.416097:0.306603:0.416097:0.000000
+:@0.348231:0.431670:0.358348:0.431670:0.358348:0.416097:0.348231:0.416097:0.000000
A:@0.287125:0.430993:0.297021:0.430993:0.297021:0.414631:0.287125:0.414631:0.000000
r:@0.331886:0.430993:0.337175:0.430993:0.337175:0.414631:0.331886:0.414631:0.000000
rg:@0.383245:0.422034:0.397490:0.422034:0.397490:0.405673:0.383245:0.405673:0.000000:0.000000
2:@0.362570:0.422034:0.371562:0.422034:0.371562:0.405646:0.362570:0.405646:0.000000
2:@0.375561:0.441480:0.384554:0.441480:0.384554:0.425091:0.375561:0.425091:0.000000
T:@0.295453:0.432997:0.300163:0.432997:0.300163:0.423514:0.295453:0.423514:0.000000
2:@0.338695:0.423330:0.343906:0.423330:0.343906:0.413832:0.338695:0.413832:0.000000
Simplificando: :@0.096359:0.458886:0.203995:0.458886:0.203995:0.442497:0.096359:0.442497:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
π:@0.239323:0.458306:0.249440:0.458306:0.254005:0.442733:0.243888:0.442733:0.000000
π:@0.280417:0.458306:0.290533:0.458306:0.295098:0.442733:0.284981:0.442733:0.000000
=:@0.227552:0.458306:0.237669:0.458306:0.237669:0.442733:0.227552:0.442733:0.000000
+:@0.269180:0.458306:0.279297:0.458306:0.279297:0.442733:0.269180:0.442733:0.000000
A:@0.208074:0.457629:0.217970:0.457629:0.217970:0.441267:0.208074:0.441267:0.000000
r:@0.252835:0.457629:0.258123:0.457629:0.258123:0.441267:0.252835:0.441267:0.000000
rg:@0.293928:0.457629:0.308173:0.457629:0.308173:0.441267:0.293928:0.441267:0.000000:0.000000
T:@0.216400:0.459633:0.221110:0.459633:0.221110:0.450150:0.216400:0.450150:0.000000
2:@0.259642:0.449966:0.264854:0.449966:0.264854:0.440468:0.259642:0.440468:0.000000
La generatriz g, :@0.096359:0.480051:0.205744:0.480051:0.205744:0.463690:0.096359:0.463690:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
por el teorema de Pitágoras, se obtiene con: :@0.205744:0.480051:0.531670:0.480051:0.531670:0.463662:0.205744:0.463662:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.547268:0.479472:0.557385:0.479472:0.557385:0.463899:0.547268:0.463899:0.000000
+:@0.592545:0.479472:0.602662:0.479472:0.602662:0.463899:0.592545:0.463899:0.000000
g:@0.535017:0.478794:0.544286:0.478794:0.544286:0.462433:0.535017:0.462433:0.000000
h:@0.573549:0.478794:0.583058:0.478794:0.583058:0.462433:0.573549:0.462433:0.000000
r:@0.605798:0.478794:0.611086:0.478794:0.611086:0.462433:0.605798:0.462433:0.000000
2:@0.583024:0.471133:0.588236:0.471133:0.588236:0.461635:0.583024:0.461635:0.000000
2:@0.612607:0.471133:0.617819:0.471133:0.617819:0.461635:0.612607:0.461635:0.000000
Área de un cilindro:@0.096359:0.517442:0.246414:0.517442:0.246414:0.500542:0.096359:0.500542:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El área de un cilindro resulta de la suma de las áreas de las bases circulares y del área :@0.096359:0.537607:0.716633:0.537607:0.716633:0.521218:0.096359:0.521218:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
lateral.:@0.096359:0.554203:0.143866:0.554203:0.143866:0.537814:0.096359:0.537814:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El área lateral es la de un rectángulo de base igual a la longitud de la circunferencia :@0.096359:0.574368:0.716541:0.574368:0.716541:0.557979:0.096359:0.557979:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de la base y de altura h. :@0.096359:0.590964:0.271901:0.590964:0.271901:0.574575:0.096359:0.574575:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.166974:0.634350:0.176869:0.634350:0.176869:0.617989:0.166974:0.617989:0.000000
r:@0.219953:0.634350:0.225242:0.634350:0.225242:0.617989:0.219953:0.617989:0.000000
A:@0.166982:0.656226:0.176878:0.656226:0.176878:0.639864:0.166982:0.639864:0.000000
r:@0.234409:0.656226:0.239697:0.656226:0.239697:0.639864:0.234409:0.639864:0.000000
h:@0.259286:0.656226:0.268795:0.656226:0.268795:0.639864:0.259286:0.639864:0.000000
A:@0.166521:0.679972:0.176417:0.679972:0.176417:0.663611:0.166521:0.663611:0.000000
r:@0.222486:0.679972:0.227775:0.679972:0.227775:0.663611:0.222486:0.663611:0.000000
rh:@0.273125:0.679972:0.288328:0.679972:0.288328:0.663611:0.273125:0.663611:0.000000:0.000000
A:@0.167000:0.701866:0.176896:0.701866:0.176896:0.685504:0.167000:0.685504:0.000000
r rh:@0.222965:0.701866:0.271854:0.701866:0.271854:0.685504:0.222965:0.685504:0.000000:0.000000:0.000000:0.000000
B:@0.175725:0.636341:0.180851:0.636341:0.180851:0.626859:0.175725:0.626859:0.000000
L:@0.175725:0.658239:0.180146:0.658239:0.180146:0.648757:0.175725:0.648757:0.000000
T:@0.175565:0.681964:0.180275:0.681964:0.180275:0.672482:0.175565:0.672482:0.000000
T:@0.175565:0.703862:0.180275:0.703862:0.180275:0.694380:0.175565:0.694380:0.000000
= ⋅:@0.186720:0.633931:0.218485:0.633931:0.218485:0.616989:0.186720:0.616989:0.000000:0.000000:0.000000
=:@0.185725:0.655811:0.195841:0.655811:0.195841:0.638869:0.185725:0.638869:0.000000
⋅:@0.228344:0.655811:0.232951:0.655811:0.232951:0.638869:0.228344:0.638869:0.000000
(:@0.198760:0.657566:0.158514:0.657566:0.158514:0.635914:0.198760:0.635914:0.000000
):@0.245142:0.657566:0.204896:0.657566:0.204896:0.635914:0.245142:0.635914:0.000000
⋅:@0.252944:0.655807:0.257551:0.655807:0.257551:0.638865:0.252944:0.638865:0.000000
=:@0.187249:0.679554:0.197366:0.679554:0.197366:0.662611:0.187249:0.662611:0.000000
+:@0.239746:0.679554:0.249863:0.679554:0.249863:0.662611:0.239746:0.662611:0.000000
=:@0.187249:0.701447:0.197366:0.701447:0.197366:0.684505:0.187249:0.684505:0.000000
+:@0.250636:0.701447:0.260753:0.701447:0.260753:0.684505:0.250636:0.684505:0.000000
(:@0.231165:0.703183:0.194679:0.703183:0.194679:0.681531:0.231165:0.681531:0.000000
):@0.273789:0.703183:0.237302:0.703183:0.237302:0.681531:0.273789:0.681531:0.000000
π:@0.198305:0.633895:0.208422:0.633895:0.213388:0.616953:0.203271:0.616953:0.000000
π:@0.212737:0.655760:0.222854:0.655760:0.227820:0.638818:0.217703:0.638818:0.000000
π:@0.207204:0.679479:0.165134:0.679479:0.170100:0.662537:0.212170:0.662537:0.000000
π:@0.259391:0.679479:0.217321:0.679479:0.222287:0.662537:0.264357:0.662537:0.000000
π:@0.207212:0.701387:0.217329:0.701387:0.222295:0.684444:0.212178:0.684444:0.000000
2:@0.229855:0.626675:0.235067:0.626675:0.235067:0.617177:0.229855:0.617177:0.000000
2:@0.229855:0.672290:0.235067:0.672290:0.235067:0.662792:0.229855:0.662792:0.000000
2:@0.205827:0.656222:0.214820:0.656222:0.214820:0.639833:0.205827:0.639833:0.000000
2:@0.200281:0.679968:0.209273:0.679968:0.209273:0.663580:0.200281:0.663580:0.000000
2:@0.252468:0.679968:0.261461:0.679968:0.261461:0.663580:0.252468:0.663580:0.000000
2:@0.200281:0.701862:0.209273:0.701862:0.209273:0.685473:0.200281:0.685473:0.000000
       :@0.296713:0.710437:0.324962:0.710437:0.324962:0.694048:0.296713:0.694048:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
r:@0.488816:0.614522:0.493267:0.614522:0.493267:0.601692:0.488816:0.601692:0.000000
h:@0.370070:0.665084:0.378158:0.665084:0.378158:0.652254:0.370070:0.652254:0.000000
h:@0.631054:0.666919:0.639141:0.666919:0.639141:0.654088:0.631054:0.654088:0.000000
Perímetro del círculo :@0.466364:0.672807:0.593997:0.672807:0.593997:0.659977:0.466364:0.659977:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de la base del cilindro:@0.466364:0.686396:0.596849:0.686396:0.596849:0.673566:0.466364:0.673566:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
altura:@0.404057:0.676842:0.438081:0.676842:0.438081:0.664012:0.404057:0.664012:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Área de una esfera:@0.096359:0.760866:0.243428:0.760866:0.243428:0.743965:0.096359:0.743965:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Si consideramos que la superficie de una esfera es un plano que podemos desenro-:@0.096359:0.781030:0.712506:0.781030:0.712506:0.764641:0.096359:0.764641:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
llar, entonces tendríamos un rectángulo de largo igual a la longitud de la circunfe-:@0.096359:0.797627:0.712502:0.797627:0.712502:0.781238:0.096359:0.781238:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
rencia y de ancho igual a su diámetro. Luego, el área de la esfera es::@0.096359:0.814223:0.587856:0.814223:0.587856:0.797834:0.096359:0.797834:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Al a:@0.247373:0.838284:0.295967:0.838284:0.295967:0.821923:0.247373:0.821923:0.000000:0.000000:0.000000:0.000000
A:@0.247373:0.859016:0.257269:0.859016:0.257269:0.842654:0.247373:0.842654:0.000000
r D:@0.295967:0.859016:0.322263:0.859016:0.322263:0.842654:0.295967:0.842654:0.000000:0.000000:0.000000
A:@0.247373:0.879761:0.257269:0.879761:0.257269:0.863400:0.247373:0.863400:0.000000
r:@0.295967:0.879761:0.301256:0.879761:0.301256:0.863400:0.295967:0.863400:0.000000
r:@0.320513:0.879761:0.325801:0.879761:0.325801:0.863400:0.320513:0.863400:0.000000
A:@0.247373:0.902360:0.257269:0.902360:0.257269:0.885999:0.247373:0.885999:0.000000
r:@0.296096:0.902360:0.301385:0.902360:0.301385:0.885999:0.296096:0.885999:0.000000
= ⋅:@0.260402:0.837869:0.284944:0.837869:0.284944:0.820927:0.260402:0.820927:0.000000:0.000000:0.000000
=:@0.260402:0.858601:0.270519:0.858601:0.270519:0.841659:0.260402:0.841659:0.000000
⋅:@0.304643:0.858601:0.309250:0.858601:0.309250:0.841659:0.304643:0.841659:0.000000
=:@0.260402:0.879346:0.270519:0.879346:0.270519:0.862404:0.260402:0.862404:0.000000
⋅:@0.304643:0.879346:0.309250:0.879346:0.309250:0.862404:0.304643:0.862404:0.000000
=:@0.260402:0.901945:0.270519:0.901945:0.270519:0.885003:0.260402:0.885003:0.000000
2:@0.273430:0.859016:0.282423:0.859016:0.282423:0.842627:0.273430:0.842627:0.000000
2:@0.273430:0.879760:0.282423:0.879760:0.282423:0.863371:0.273430:0.863371:0.000000
2:@0.310709:0.879760:0.319702:0.879760:0.319702:0.863371:0.310709:0.863371:0.000000
4:@0.274001:0.902359:0.282994:0.902359:0.282994:0.885970:0.274001:0.885970:0.000000
2:@0.304174:0.894695:0.309386:0.894695:0.309386:0.885197:0.304174:0.885197:0.000000
π:@0.280367:0.858557:0.290483:0.858557:0.295450:0.841615:0.285333:0.841615:0.000000
π:@0.280367:0.879302:0.290483:0.879302:0.295450:0.862360:0.285333:0.862360:0.000000
π:@0.281519:0.901901:0.291635:0.901901:0.296602:0.884959:0.286485:0.884959:0.000000
                             :@0.335700:0.906084:0.452734:0.906084:0.452734:0.889695:0.335700:0.889695:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
r:@0.523962:0.862977:0.528289:0.862977:0.528289:0.849591:0.523962:0.849591:0.000000
La educación vial no solo :@0.755005:0.149045:0.926281:0.149045:0.926281:0.134146:0.755005:0.134146:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
incluye el conocimiento :@0.755005:0.164133:0.919026:0.164133:0.919026:0.149234:0.755005:0.149234:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de señales y reglas de :@0.755005:0.179221:0.903479:0.179221:0.903479:0.164322:0.755005:0.164322:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tránsito, sino que también :@0.755005:0.194308:0.932831:0.194308:0.932831:0.179409:0.755005:0.179409:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
promueve una cultura de :@0.755005:0.209396:0.928241:0.209396:0.928241:0.194497:0.755005:0.194497:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
respeto y responsabilidad :@0.755005:0.224484:0.929630:0.224484:0.929630:0.209585:0.755005:0.209585:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
compartida entre todos :@0.755005:0.239571:0.917166:0.239571:0.917166:0.224672:0.755005:0.224672:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
los usuarios de la vía.:@0.755005:0.254659:0.893746:0.254659:0.893746:0.239760:0.755005:0.239760:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Cuál es tu :@0.755005:0.273305:0.825415:0.273305:0.825415:0.258431:0.755005:0.258431:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
comportamiento cuando :@0.755005:0.288392:0.919930:0.288392:0.919930:0.273518:0.755005:0.273518:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
caminas por la calle?:@0.755005:0.303480:0.887280:0.303480:0.887280:0.288606:0.755005:0.288606:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Seguridad vial:@0.789608:0.116603:0.898165:0.116603:0.898165:0.099703:0.789608:0.099703:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Cuando una persona :@0.755006:0.714928:0.898491:0.714928:0.898491:0.700029:0.755006:0.700029:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tiene dificultades:@0.755006:0.730015:0.869274:0.730015:0.869274:0.715116:0.755006:0.715116:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
o problemas de:@0.755006:0.745103:0.859910:0.745103:0.859910:0.730204:0.755006:0.730204:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
motricidad, :@0.755006:0.760191:0.834578:0.760191:0.834578:0.745292:0.755006:0.745292:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
es importante tener :@0.755006:0.775278:0.891352:0.775278:0.891352:0.760379:0.755006:0.760379:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en cuenta que sus:@0.755006:0.790366:0.876863:0.790366:0.876863:0.775467:0.755006:0.775467:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
desplazamientos :@0.755006:0.805453:0.871484:0.805453:0.871484:0.790554:0.755006:0.790554:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y ritmos no siempre :@0.755006:0.820541:0.891285:0.820541:0.891285:0.805642:0.755006:0.805642:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
se ajustarán a los :@0.755006:0.835629:0.871017:0.835629:0.871017:0.820730:0.755006:0.820730:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de los demás.:@0.755006:0.850716:0.845836:0.850716:0.845836:0.835817:0.755006:0.835817:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Necesidades:@0.779788:0.675572:0.874742:0.675572:0.874742:0.658671:0.779788:0.658671:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
educativas:@0.784882:0.689402:0.866306:0.689402:0.866306:0.672501:0.784882:0.672501:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ingresa a::@0.755425:0.415278:0.818096:0.415278:0.818096:0.400379:0.755425:0.400379:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
lynk.ec/9mt28:@0.755425:0.430365:0.850579:0.430365:0.850579:0.415240:0.755425:0.415240:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Refuerza lo aprendido con :@0.755425:0.449011:0.934775:0.449011:0.934775:0.434112:0.755425:0.434112:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
los ejercicios sobre áreas :@0.755425:0.464099:0.922143:0.464099:0.922143:0.449200:0.755425:0.449200:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de sólidos geométricos.:@0.755425:0.479186:0.913581:0.479186:0.913581:0.464287:0.755425:0.464287:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Cuál de los sólidos :@0.755425:0.497832:0.879410:0.497832:0.879410:0.482958:0.755425:0.482958:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
presentados en el video :@0.755425:0.512920:0.905761:0.512920:0.905761:0.498046:0.755425:0.498046:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tiene mayor área?:@0.755425:0.528007:0.868703:0.528007:0.868703:0.513133:0.755425:0.513133:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Digital:@0.807197:0.382836:0.857667:0.382836:0.857667:0.365935:0.807197:0.365935:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 ©:@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 :@0.079553:0.684192:0.079553:0.268045:0.061505:0.268045:0.061505:0.684192:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000