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kullanılır.","Çemberde uzunluk bilgilerine hakim olmak dairede alan hesaplamasını yapabilmek için şarttır."]},"beginTime":204,"endTime":236,"href":"/video/preview/3291792561028924895?parent-reqid=1773597586192717-18306184673124042109-balancer-l7leveler-kubr-yp-klg-121-BAL&text=Line+and+Circle+-+Topic&t=204&ask_summarization=1"},{"index":4,"title":"Örnek Sorular","list":{"type":"unordered","items":["Örnek 12'de yarıçaplarının oranı 3 olan iki dairenin alanları arasındaki ilişki hesaplanır.","Örnek 13'te, iki çemberin yarıçapları r₁ ve r₂ olan bir soruda taralı alan hesaplanır.","Örnek 4'te, merkezli çember ve paralel kirişler kullanılarak taralı alan hesaplanır."]},"beginTime":236,"endTime":598,"href":"/video/preview/3291792561028924895?parent-reqid=1773597586192717-18306184673124042109-balancer-l7leveler-kubr-yp-klg-121-BAL&text=Line+and+Circle+-+Topic&t=236&ask_summarization=1"},{"index":5,"title":"Daire Alanı Hesaplama","list":{"type":"unordered","items":["Taralı bölgenin alanı, tüm yamuğun alanı (alt taban+üst taban)×yükseklik/2'den beyaz alan (dairenin alanı πr²) çıkarılarak bulunur.","Dairenin alanı hesaplanırken yarıçapı bulmak gerekir, bu örnekte ikizkenar yamuk kullanılarak yarıçap 4 birim olarak bulunmuştur.","Dairenin alanı πr² formülüyle hesaplanır ve bu örnekte 27π olarak bulunmuştur."]},"beginTime":602,"endTime":776,"href":"/video/preview/3291792561028924895?parent-reqid=1773597586192717-18306184673124042109-balancer-l7leveler-kubr-yp-klg-121-BAL&text=Line+and+Circle+-+Topic&t=602&ask_summarization=1"},{"index":6,"title":"Çember ve Eşkenar Üçgen Problemleri","list":{"type":"unordered","items":["Düzgün altıgenin merkezinden geçen simetrik eksenlerin kesim noktası çemberin merkezini verir ve altıgen altı eşkenar üçgenden oluşur.","Eşkenar üçgenin çevre çemberinin yarıçapı, üçgenin kenar uzunluğunun 1/2 katı olarak hesaplanır.","İki eşkenar üçgen ve iki çemberden oluşan bir logoda, büyük çemberin yarıçapı 4√3 birim olarak bulunmuştur."]},"beginTime":776,"endTime":938,"href":"/video/preview/3291792561028924895?parent-reqid=1773597586192717-18306184673124042109-balancer-l7leveler-kubr-yp-klg-121-BAL&text=Line+and+Circle+-+Topic&t=776&ask_summarization=1"},{"index":7,"title":"Daire Dilimi Alanı","list":{"type":"unordered","items":["Daire diliminin alanı πr²×α/360 formülüyle hesaplanır, burada r yarıçap, α merkez açısıdır.","Daire dilimi alanı hesaplamak için yarıçap ve merkez açısı bilgileri gerekir.","Örneklerde verilen merkez açıları kullanılarak daire dilimlerinin alanları hesaplanmıştır."]},"beginTime":938,"endTime":1103,"href":"/video/preview/3291792561028924895?parent-reqid=1773597586192717-18306184673124042109-balancer-l7leveler-kubr-yp-klg-121-BAL&text=Line+and+Circle+-+Topic&t=938&ask_summarization=1"},{"index":8,"title":"Uzunluk Problemleri","list":{"type":"unordered","items":["Merkez açıları yaşlarıyla orantılı olan üç dilimli bir çemberde, toplam merkez açıları 360 derece olur.","Merkez açıları α ile ifade edildiğinde, 5α+6α+7α=360 formülü kullanılarak α=20 derece bulunur.","Ortanca kardeşin aldığı 120 derecelik dilimin alanı hesaplanarak 108π sonucu elde edilmiştir."]},"beginTime":1103,"endTime":1186,"href":"/video/preview/3291792561028924895?parent-reqid=1773597586192717-18306184673124042109-balancer-l7leveler-kubr-yp-klg-121-BAL&text=Line+and+Circle+-+Topic&t=1103&ask_summarization=1"},{"index":9,"title":"Bütünsel Düşünce ile Alan Hesaplama","list":{"type":"unordered","items":["Bütünsel düşünce tarzı, üçgenin alanından dilimlerin alanını çıkarmak suretiyle istenen alanı bulmayı içerir.","Eş çemberlerin yarıçapları aynıdır ve bu durumda eşkenar üçgenin alanından dilimlerin alanı çıkarılarak taralı alan hesaplanabilir.","Eşkenar üçgenin alanı iki r'nin karesi çarpı kök üç bölü dört, dilimlerin alanı ise pi r kare bölü altmış olup, toplam alan dört kök üç eksi iki pi olarak bulunur."]},"beginTime":1188,"endTime":1323,"href":"/video/preview/3291792561028924895?parent-reqid=1773597586192717-18306184673124042109-balancer-l7leveler-kubr-yp-klg-121-BAL&text=Line+and+Circle+-+Topic&t=1188&ask_summarization=1"},{"index":10,"title":"Yarım Çember Problemi Çözümü","list":{"type":"unordered","items":["Yarım çember probleminde AP uzunluğu r, ALİ BEY uzunluğu ise 2k olarak verilmiştir.","Bütünsel düşünme yaklaşımıyla, yamuğun alanından iki dilim çıkarılarak kalan alan hesaplanabilir.","Çözümde yarıçaplar 2 ve 6 olarak bulunmuş, yamuğun alanı 84/3, dilimlerin alanı ise 22/3 olarak hesaplanmıştır."]},"beginTime":1323,"endTime":1562,"href":"/video/preview/3291792561028924895?parent-reqid=1773597586192717-18306184673124042109-balancer-l7leveler-kubr-yp-klg-121-BAL&text=Line+and+Circle+-+Topic&t=1323&ask_summarization=1"},{"index":11,"title":"Çözüm Sonuçları ve Öneriler","list":{"type":"unordered","items":["Çözümde uzunluk bilgilerinden yarıçaplar, açı bilgilerinden açılar bulunarak bütünsel düşünme yaklaşımı uygulanmıştır.","Dairede alan hesaplaması çok rahat bir şekilde yapılmıştır.","Örnek 22'de 8,43 eksi 22/3 cevabı bulunmuş ve alanın dilimin alanının farklı bir şekilde bulunmasına ilave bir özellik de ele alınmıştır."]},"beginTime":1562,"endTime":1604,"href":"/video/preview/3291792561028924895?parent-reqid=1773597586192717-18306184673124042109-balancer-l7leveler-kubr-yp-klg-121-BAL&text=Line+and+Circle+-+Topic&t=1562&ask_summarization=1"}],"linkTemplate":"/video/preview/3291792561028924895?parent-reqid=1773597586192717-18306184673124042109-balancer-l7leveler-kubr-yp-klg-121-BAL&text=Line+and+Circle+-+Topic&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Circle and Circle Lesson 11 | Area in a Circle-1 | 11th Grade Lesson Description | Academy Series","related_orig_text":"Line and Circle - 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