229:@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 6.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 6. Escribe :@0.096359:0.098258:0.186521:0.098258:0.186521:0.079821:0.096359:0.079821:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 el nombre de los elementos de la circunferencia.:@0.186521:0.098258:0.574118:0.098258:0.574118:0.080379:0.186521:0.080379:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 r=15 cm:@0.345695:0.592513:0.401832:0.592513:0.401832:0.577614:0.345695:0.577614:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 7. Comprueba:@0.096359:0.387591:0.222686:0.387591:0.222686:0.369154:0.096359:0.369154:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 el valor pi (π).:@0.222686:0.387591:0.333050:0.387591:0.333050:0.369712:0.222686:0.369712:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Recuerda:@0.120101:0.412817:0.201678:0.412817:0.201678:0.394380:0.120101:0.394380:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 que π = L / D:@0.205839:0.412817:0.310817:0.412817:0.310817:0.394938:0.205839:0.394938:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a) :@0.124845:0.441619:0.145269:0.441619:0.145269:0.423182:0.124845:0.423182:0.000000:0.000000:0.000000 Longitud = 28,26 cm diámetro = 9 cm :@0.153331:0.441619:0.488032:0.441619:0.488032:0.423741:0.153331:0.423741:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 π = :@0.518507:0.441619:0.554291:0.441619:0.554291:0.423741:0.518507:0.423741:0.000000:0.000000:0.000000:0.000000:0.000000 b) :@0.124851:0.466855:0.146703:0.466855:0.146703:0.448418:0.124851:0.448418:0.000000:0.000000:0.000000 Longitud = 37,68 cm diámetro = 12 cm :@0.153337:0.466855:0.485322:0.466855:0.485322:0.448976:0.153337:0.448976:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 π = :@0.518514:0.466855:0.554297:0.466855:0.554297:0.448976:0.518514:0.448976:0.000000:0.000000:0.000000:0.000000:0.000000 c) :@0.124851:0.492357:0.144090:0.492357:0.144090:0.473919:0.124851:0.473919:0.000000:0.000000:0.000000 Longitud = 78,50 cm diámetro = 25 cm :@0.153337:0.492357:0.489725:0.492357:0.489725:0.474478:0.153337:0.474478:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 π = :@0.518514:0.492357:0.554297:0.492357:0.554297:0.474478:0.518514:0.474478:0.000000:0.000000:0.000000:0.000000:0.000000 8. Calcula:@0.096359:0.535409:0.182962:0.535409:0.182962:0.516972:0.096359:0.516972:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 el área del círculo y la longitud de la circunferencia.:@0.187124:0.535409:0.593761:0.535409:0.593761:0.517530:0.187124:0.517530:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Actividad cooperativa:@0.096359:0.828553:0.298009:0.828553:0.298009:0.809753:0.096359:0.809753:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 9. Consigan:@0.096359:0.846658:0.205940:0.846658:0.205940:0.828221:0.096359:0.828221:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 un objeto circular. :@0.205940:0.846658:0.358056:0.846658:0.358056:0.828779:0.205940:0.828779:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Midan calculen:@0.358056:0.846658:0.502958:0.846658:0.502958:0.828221:0.358056:0.828221:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 y :@0.413400:0.846658:0.431050:0.846658:0.431050:0.828779:0.413400:0.828779:0.000000:0.000000:0.000000 su área y longitud.:@0.502958:0.846658:0.653104:0.846658:0.653104:0.828779:0.502958:0.828779:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Indaguemos:@0.096359:0.882868:0.209478:0.882868:0.209478:0.864069:0.096359:0.864069:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 10. Averigua:@0.096359:0.900973:0.202884:0.900973:0.202884:0.882536:0.096359:0.882536:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 cuál es la longitud de una tapa de olla; :@0.202884:0.900973:0.519539:0.900973:0.519539:0.883094:0.202884:0.883094:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 mide:@0.519539:0.900973:0.563785:0.900973:0.563785:0.882536:0.519539:0.882536:0.000000:0.000000:0.000000:0.000000 su radio.:@0.563785:0.900973:0.634789:0.900973:0.634789:0.883094:0.563785:0.883094:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ©:@0.876763:0.851428:0.876763:0.846321:0.864681:0.846321:0.864681:0.851428:0.000000 Freepik:@0.876763:0.846321:0.876763:0.824670:0.864852:0.824670:0.864852:0.846321:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Todas las personas, :@0.755090:0.656117:0.891606:0.656117:0.891606:0.640474:0.755090:0.640474:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 más allá de las :@0.755090:0.671207:0.859258:0.671207:0.859258:0.655563:0.755090:0.655563:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 diferencias o similitudes :@0.755090:0.686296:0.926311:0.686296:0.926311:0.670653:0.755090:0.670653:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 que podamos tener :@0.755090:0.701386:0.898009:0.701386:0.898009:0.685742:0.755090:0.685742:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 unas con otras, tenemos :@0.755090:0.716475:0.929988:0.716475:0.929988:0.700832:0.755090:0.700832:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 la necesidad de :@0.755090:0.731565:0.868159:0.731565:0.868159:0.715921:0.755090:0.715921:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 sentirnos queridos :@0.755090:0.746654:0.888966:0.746654:0.888966:0.731011:0.755090:0.731011:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 y de desarrollar :@0.755090:0.761744:0.865432:0.761744:0.865432:0.746100:0.755090:0.746100:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 nuestra autoestima.:@0.755090:0.776833:0.893084:0.776833:0.893084:0.761190:0.755090:0.761190:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Necesidades:@0.779874:0.616132:0.874827:0.616132:0.874827:0.599231:0.779874:0.599231:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 educativas:@0.784968:0.629962:0.866391:0.629962:0.866391:0.613061:0.784968:0.613061:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 El proceso de :@0.755090:0.437659:0.852978:0.437659:0.852978:0.422015:0.755090:0.422015:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 aprendizaje no debe :@0.755090:0.452748:0.903040:0.452748:0.903040:0.437104:0.755090:0.437104:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ser una carrera de :@0.755090:0.467838:0.883480:0.467838:0.883480:0.452194:0.755090:0.452194:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 velocidad. Cada persona :@0.755090:0.482927:0.929863:0.482927:0.929863:0.467283:0.755090:0.467283:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 tiene su propio ritmo :@0.755090:0.498017:0.906997:0.498017:0.906997:0.482373:0.755090:0.482373:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 y debemos respetarlo.:@0.755090:0.513106:0.910111:0.513106:0.910111:0.497462:0.755090:0.497462:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Socioemocional:@0.760340:0.404588:0.899112:0.404588:0.899112:0.387688:0.760340:0.387688:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 3,14:@0.593210:0.441099:0.623394:0.441099:0.623394:0.424710:0.593210:0.424710:0.000000:0.000000:0.000000:0.000000 3,14:@0.593210:0.466588:0.623394:0.466588:0.623394:0.450199:0.593210:0.450199:0.000000:0.000000:0.000000:0.000000 3,14:@0.593210:0.490639:0.623394:0.490639:0.623394:0.474250:0.593210:0.474250:0.000000:0.000000:0.000000:0.000000 A = π × r:@0.144350:0.678662:0.208386:0.678662:0.208386:0.662273:0.144350:0.662273:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 2 :@0.208386:0.672694:0.220796:0.672694:0.220796:0.660775:0.208386:0.660775:0.000000:0.000000:0.000000 L = π × D:@0.414063:0.678666:0.482061:0.678666:0.482061:0.662277:0.414063:0.662277:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 A = 3,14 × 225 :@0.144356:0.727708:0.254443:0.727708:0.254443:0.711319:0.144356:0.711319:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 L = 3,14 × 30:@0.414063:0.727708:0.508597:0.727708:0.508597:0.711319:0.414063:0.711319:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 A = 706,5 cm :@0.144356:0.776750:0.251282:0.776756:0.251282:0.760367:0.144356:0.760362:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 2:@0.240706:0.770783:0.247246:0.770783:0.247246:0.758864:0.240706:0.758864:0.000000 L = 94,2 cm:@0.414072:0.776756:0.498912:0.776756:0.498912:0.760367:0.414072:0.760367:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 secante:@0.255631:0.138528:0.312423:0.138528:0.312423:0.122139:0.255631:0.122139:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 diámetro:@0.217522:0.279155:0.284525:0.279155:0.284525:0.262766:0.217522:0.262766:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 radio:@0.629988:0.145582:0.667470:0.145582:0.667470:0.129193:0.629988:0.129193:0.000000:0.000000:0.000000:0.000000:0.000000 tangente:@0.687722:0.232671:0.755018:0.232671:0.755018:0.216282:0.687722:0.216282:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 cuerda:@0.610805:0.315280:0.661370:0.315280:0.661370:0.298891:0.610805:0.298891:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 arco:@0.522408:0.349316:0.554029:0.349316:0.554029:0.332927:0.522408:0.332927:0.000000:0.000000:0.000000:0.000000 ©:@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