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Öğretmen önce düzgün çokgenin tanımı ve özellikleri hakkında bilgi verir, ardından herhangi bir çokgenin iç açılarının toplamını bulma formülü (180(n-2)) açıklar. Daha sonra düzgün çokgenlerin iç açıları, dış açıları ve çevre hesaplamaları konularını örneklerle anlatır. Son bölümde ise düzgün çokgenlerin köşegenleri kullanılarak üçgenlerin oluşturulması ve en küçük açıların hesaplanması konusu işlenmektedir.","Öğretmen, öğrencilerin sorularını yanıtlarken konuyu adım adım açıklar ve çeşitli örnekler çözer. Özellikle düzgün beşgen, altıgen ve sekizgen örnekleri üzerinden iç açılar, dış açılar ve çevre hesaplamaları formülleri uygulamalı olarak gösterilmektedir."]},"endTime":2340,"title":"Düzgün Çokgenler Matematik Dersi","beginTime":0}],"fullResult":[{"index":0,"title":"Düzgün Çokgenler","list":{"type":"unordered","items":["Düzgün çokgen, hem kenarları hem de açıları birbirine eşit olan çokgendir.","Kare ve eşkenar üçgen düzgün çokgenlerdir çünkü hem kenarları hem açıları birbirine eşittir.","Paralelkenar düzgün çokgen değildir çünkü dört kenarı birbirine eşit olsa da dört açısı birbirine eşit değildir."]},"beginTime":9,"endTime":128,"href":"/video/preview/590151647761700465?channelId=d3d3LnlvdXR1YmUuY29tO1VDUWxaYnZqbndpdDJTUlRrWE5yYmU2Zw%3D%3D&how=tm&parent-reqid=1751878286542015-2947196197727432401-balancer-l7leveler-kubr-yp-sas-65-BAL&text=DE%C4%9E%C4%B0%C5%9E%C4%B0M+OKULLARI&t=9&ask_summarization=1"},{"index":1,"title":"Düzgün Beşgen 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Açılarının Toplamı","list":{"type":"unordered","items":["Herhangi bir çokgenin iç açılarının toplamı, kenar sayısının iki eksiği ile 180°'nin çarpımına eşittir.","Altıgenin iç açılarının toplamı 720° olarak hesaplanmıştır.","Düzgün çokgenlerde bir iç açı ile bir dış açısının farkı, iç açının 180°'den çıkarılmasıyla bulunur."]},"beginTime":702,"endTime":998,"href":"/video/preview/590151647761700465?channelId=d3d3LnlvdXR1YmUuY29tO1VDUWxaYnZqbndpdDJTUlRrWE5yYmU2Zw%3D%3D&how=tm&parent-reqid=1751878286542015-2947196197727432401-balancer-l7leveler-kubr-yp-sas-65-BAL&text=DE%C4%9E%C4%B0%C5%9E%C4%B0M+OKULLARI&t=702&ask_summarization=1"},{"index":6,"title":"Düzgün Çokgenlerin Özellikleri","list":{"type":"unordered","items":["Düzgün çokgenlerde bir iç açı biliniyorsa, dış açı 180°'den çıkarılarak bulunabilir.","Düzgün altıgen altı tane eşkenar üçgenden oluşur ve en uzun köşegeni iki kenarın toplamına eşittir.","Düzgün çokgenlerde tüm iç açılar ve kenarlar birbirine 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Hesaplama Kuralları","list":{"type":"unordered","items":["Kapalı bir şeklin çevresi hesaplanırken, şeklin içine girilmez ve sadece dış kenarları sayılır.","Ağzı açık bir şeklin çevresi hesaplanırken, şeklin içinden dolanılır.","Eşkenar üçgenin bir kenar uzunluğu 28 m olduğuna göre, düzgün altıgenin bir kenar uzunluğu da 28 m'dir."]},"beginTime":1702,"endTime":1998,"href":"/video/preview/590151647761700465?channelId=d3d3LnlvdXR1YmUuY29tO1VDUWxaYnZqbndpdDJTUlRrWE5yYmU2Zw%3D%3D&how=tm&parent-reqid=1751878286542015-2947196197727432401-balancer-l7leveler-kubr-yp-sas-65-BAL&text=DE%C4%9E%C4%B0%C5%9E%C4%B0M+OKULLARI&t=1702&ask_summarization=1"},{"index":10,"title":"Çokgen Problemi Çözümü","list":{"type":"unordered","items":["Düzgün altıgenlerden birinin bir çevresi 4×6=24 olarak hesaplanıyor.","Bir kart seçip karttaki sayı kadar kenarı olan bir çokgen çizme kuralı açıklanıyor.","Üçüncü ve dördüncü kat seçildiğinde, üç ve dört kenarlı çokgenler (üçgen ve dörtgen) çizilmesi gerektiği 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