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Öğretmen, TYT ve AYT sınavlarına hazırlık amacıyla matematik konularını anlatmaktadır.","Videoda daire ve daire dilimleri konusu detaylı olarak ele alınmaktadır. Öğretmen önce dairenin alan formülünü (πr²) açıklar, ardından farklı soru tiplerini çözer. Özellikle daire dilimlerinin alanları, yay uzunluğu formülleri, eşkenar üçgenlerin özellikleri ve teğet noktalarının kullanımı gibi konular adım adım anlatılmaktadır.","Öğretmen, formülleri ezberlemek yerine mantığını anlamayı vurgulayarak, farklı çözüm yöntemlerini göstermektedir. Video, çember ve daire alan hesaplamaları için iki farklı yöntem (büyük daire diliminin alanından küçük daire diliminin alanı çıkarılarak ve benzerlik oranı kullanılarak) ve çevre çember ile ilgili sinüs teoremi kullanılarak alan hesaplamaları içermektedir. Video, 11. sınıf matematik dersinin son ünitesi olan \"Çember ve Daire\" konusunun sonunda, bir sonraki dersin \"Katı Cisimler\" olacağını belirterek sona ermektedir."]},"endTime":1570,"title":"11. 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alanı bulunuyor.","Dikdörtgenin alanı 48 birim kare, dairenin alanı ise 25π birim kare olarak hesaplanıyor, taralı bölgenin alanı 25π - 48 olarak bulunuyor."]},"beginTime":77,"endTime":229,"href":"/video/preview/11608015171789281104?parent-reqid=1765129862305280-17632491220332636287-balancer-l7leveler-kubr-yp-vla-82-BAL&text=daire&t=77&ask_summarization=1"},{"index":2,"title":"Daire Parçasının Alanı","list":{"type":"unordered","items":["Daire parçasının alanı formülü pi r² × (alfa/360) olarak açıklanıyor.","Daire parçasının alanını hesaplamak için \"yay uzunluğu × r / 2\" formülü de kullanılabilir, bu formülün mantığı ispatlanıyor.","Üçüncü örnekte, yarıçapı 4 birim ve çevre açısı 45 derece olan bir daire parçasının alanı 4π birim kare olarak hesaplanıyor."]},"beginTime":229,"endTime":441,"href":"/video/preview/11608015171789281104?parent-reqid=1765129862305280-17632491220332636287-balancer-l7leveler-kubr-yp-vla-82-BAL&text=daire&t=229&ask_summarization=1"},{"index":3,"title":"Yay Uzunluğu ve Taralı Alan Problemi","list":{"type":"unordered","items":["Soruda yay uzunluğu ve taralı alan verilmiş, ABC açısının kaç derece olduğunu bulmak isteniyor.","Yay uzunluğu formülü: 2πrα/360'dır.","Taralı alan formülü: πr²α/360'dır ve bu değerin 3 birim kare olduğu belirtilmiştir."]},"beginTime":446,"endTime":517,"href":"/video/preview/11608015171789281104?parent-reqid=1765129862305280-17632491220332636287-balancer-l7leveler-kubr-yp-vla-82-BAL&text=daire&t=446&ask_summarization=1"},{"index":4,"title":"Problemin Çözümü","list":{"type":"unordered","items":["İlk çözüm yolunda, yay uzunluğu ve taralı alan formüllerinden r değeri bulunarak alfa açısı hesaplanır ve 120 derece olarak bulunur.","İkinci çözüm yolunda, yay uzunluğu formülü kullanılarak da aynı sonuç elde edilir.","İki farklı çözüm yolunun bilinmesi, farklı tipteki sorularda şaşmamak için önemlidir."]},"beginTime":517,"endTime":612,"href":"/video/preview/11608015171789281104?parent-reqid=1765129862305280-17632491220332636287-balancer-l7leveler-kubr-yp-vla-82-BAL&text=daire&t=517&ask_summarization=1"},{"index":5,"title":"Dairede Alan Oranı Problemi","list":{"type":"unordered","items":["Dairede taralı bölgenin alanının taralı olmayan bölgenin alanına oranı soruluyor.","Dairede açılar oranı, dairenin alanlar oranına eşittir.","Verilen 100 derecelik açı ve 260 derecelik açı kullanılarak oran 5 olarak bulunuyor."]},"beginTime":617,"endTime":715,"href":"/video/preview/11608015171789281104?parent-reqid=1765129862305280-17632491220332636287-balancer-l7leveler-kubr-yp-vla-82-BAL&text=daire&t=617&ask_summarization=1"},{"index":6,"title":"Çaplı Yarım Çemberde Alan Hesaplama","list":{"type":"unordered","items":["Çap çapı gören çevre açı 90 derece olduğundan, tabanlar çarpımı yüksekliğin karesine eşittir formülü kullanılarak x=8 bulunuyor.","Yarıçap 5 birim olarak hesaplanıyor.","Taralı alan, yarım dairenin alanından üçgenin alanını çıkararak bulunuyor: 25π - 42 birim kare."]},"beginTime":715,"endTime":806,"href":"/video/preview/11608015171789281104?parent-reqid=1765129862305280-17632491220332636287-balancer-l7leveler-kubr-yp-vla-82-BAL&text=daire&t=715&ask_summarization=1"},{"index":7,"title":"Eşkenar Üçgen ve Daire Dilimi Problemi","list":{"type":"unordered","items":["Eşkenar üçgende tabana indirilen dikme, tabanı iki eş parçaya böler ve 30-60-90 derecelik özel üçgen oluşturur.","Eşkenar üçgenin alanı a²√3/4 formülüyle hesaplanabilir.","Taralı alan, üçgenin alanından dairenin alanını çıkararak bulunuyor: 48√3 - 48π = 24(2√3 - π) birim kare."]},"beginTime":806,"endTime":1013,"href":"/video/preview/11608015171789281104?parent-reqid=1765129862305280-17632491220332636287-balancer-l7leveler-kubr-yp-vla-82-BAL&text=daire&t=806&ask_summarization=1"},{"index":8,"title":"Teğet Çember Problemi","list":{"type":"unordered","items":["Teğet noktasıyla merkezi birleştiren doğru, teğetle dik açı oluşturur.","Verilen A uzunluğu B uzunluğunun iki katı olduğundan, yarıçap 2√3 birim olarak bulunuyor.","Taralı alan, üçgenin alanından daire diliminin alanını çıkararak hesaplanıyor: 6√3 - 2π birim kare."]},"beginTime":1013,"endTime":1168,"href":"/video/preview/11608015171789281104?parent-reqid=1765129862305280-17632491220332636287-balancer-l7leveler-kubr-yp-vla-82-BAL&text=daire&t=1013&ask_summarization=1"},{"index":9,"title":"Daire Dilim Alanı Hesaplama Yöntemleri","list":{"type":"unordered","items":["Boyalı bölgenin alanını bulmak için büyük daire diliminin alanından küçük daire diliminin alanı çıkarılmalıdır.","Daire dilim alanını hesaplarken πr²×α/360 formülü kullanılır, burada α açı ölçüsüdür.","Yayın uzunluğu verildiğinde (2πr×α/360) formülü kullanılarak açı ölçüsü bulunabilir."]},"beginTime":1175,"endTime":1245,"href":"/video/preview/11608015171789281104?parent-reqid=1765129862305280-17632491220332636287-balancer-l7leveler-kubr-yp-vla-82-BAL&text=daire&t=1175&ask_summarization=1"},{"index":10,"title":"Daire Dilim Alanı Hesaplama Örneği","list":{"type":"unordered","items":["Yayın uzunluğu 24 ise, 2π×9×α/360=24 formülü kullanılarak α=4/3π bulunur.","Büyük daire diliminin alanı π×81×4/3π, küçük daire diliminin alanı π×36×4/3π olarak hesaplanır.","Alanlar arasındaki fark 216-72=144 birim kare olarak bulunur."]},"beginTime":1245,"endTime":1318,"href":"/video/preview/11608015171789281104?parent-reqid=1765129862305280-17632491220332636287-balancer-l7leveler-kubr-yp-vla-82-BAL&text=daire&t=1245&ask_summarization=1"},{"index":11,"title":"Alternatif Daire Dilim Alanı Hesaplama Yöntemi","list":{"type":"unordered","items":["Daire dilim alanı, taban çarpı yükseklik bölü iki formülüyle de hesaplanabilir.","Benzerlik oranı kullanılarak taban uzunluğu (x) 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Ardından aynı katta bulunan 2+1 dairenin mutfak, salon, balkon ve yatak odası bölümleri tanıtılıyor. Her iki dairede de kullanılan malzemeler (gri renkli kapılar, beyaz ve gri kombinli mutfak dolapları, krem renkli fayanslar) ve genel tasarım özellikleri detaylı olarak anlatılıyor. Proje bu yıl içerisinde teslim edilecek ve kış sezonunda çalışmaların hızlı ilerlediği belirtiliyor."]},"endTime":346,"title":"Toki'nin 3+1 ve 2+1 Daire Turu","beginTime":0}],"fullResult":[{"index":0,"title":"3+1 Dairenin Tanıtımı","list":{"type":"unordered","items":["Toki'nin yapmış olduğu 3+1 bir dairede bulunuyoruz ve bu proje yıl içerisinde teslim edilecek.","Dairede mutfak dolapları yerleştirilmiş, banyolar yapılmış ve balkon bulunmaktadır.","Mutfak sol tarafta yer alırken, dikdörtgen şeklinde bir salon ve köşe vidayla balkona çıkış bulunmaktadır."]},"beginTime":0,"endTime":48,"href":"/video/preview/14741284420999735460?parent-reqid=1765129862305280-17632491220332636287-balancer-l7leveler-kubr-yp-vla-82-BAL&text=daire&t=0&ask_summarization=1"},{"index":1,"title":"Dairenin Detayları","list":{"type":"unordered","items":["Salonun karşısında BBC (baba-babası-cocuk) için ayrılmış bir yer ve diğer odalar bulunmaktadır.","Dairede küçük bir balkon olan bir oturma odası ve ortak banyo bulunmaktadır.","Ortak banyoda duşakabinler takılmış, klozet ve lavabolar takılacak durumda."]},"beginTime":48,"endTime":85,"href":"/video/preview/14741284420999735460?parent-reqid=1765129862305280-17632491220332636287-balancer-l7leveler-kubr-yp-vla-82-BAL&text=daire&t=48&ask_summarization=1"},{"index":2,"title":"Yatak Odası ve Kattaki Daireler","list":{"type":"unordered","items":["Köşeli dairede yatak odası bulunmaktadır.","Katta iki daire yer alıyor ve karşı tarafta 2+1 daire bulunmaktadır.","2+1 daireden giriş kapısından sol tarafta fortmanto yeri, sağ tarafta mutfak yer almaktadır."]},"beginTime":85,"endTime":139,"href":"/video/preview/14741284420999735460?parent-reqid=1765129862305280-17632491220332636287-balancer-l7leveler-kubr-yp-vla-82-BAL&text=daire&t=85&ask_summarization=1"},{"index":3,"title":"2+1 Dairenin İç Mekanı","list":{"type":"unordered","items":["Mutfakta dolaplar ve tezgah yerleştirilmiş, arka tarafı hoş bir şekilde tasarlanmış.","Mutfaktan küçük bir balkona çıkış bulunmaktadır.","Giriş kapısının sağ tarafında ortak banyo ve küçük bir oda yer almaktadır."]},"beginTime":139,"endTime":183,"href":"/video/preview/14741284420999735460?parent-reqid=1765129862305280-17632491220332636287-balancer-l7leveler-kubr-yp-vla-82-BAL&text=daire&t=139&ask_summarization=1"},{"index":4,"title":"Salon ve Diğer Odalar","list":{"type":"unordered","items":["Kare şeklinde bir salon ve oradan balkona çıkış bulunmaktadır.","Dairede iki ortak banyo bulunmaktadır.","Diğer oda da 2+1 bir daire olarak tanımlanmaktadır."]},"beginTime":183,"endTime":241,"href":"/video/preview/14741284420999735460?parent-reqid=1765129862305280-17632491220332636287-balancer-l7leveler-kubr-yp-vla-82-BAL&text=daire&t=183&ask_summarization=1"},{"index":5,"title":"Malzemeler ve Projenin Durumu","list":{"type":"unordered","items":["İç kapılarda gri renkler kullanılmış, mutfak dolaplarında beyaz ve gri kombinasyon tercih edilmiştir.","Parkeler döşenmiş, çıtaları eksik durumda ve ufak tefek işlemler 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