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Giải bài 82 trang 50 sách bài tập Toán 6 – Cánh Diều Tập 2

Hãy tính diện tích phần tô đậm ở hình 6. Biết cạnh hình vuông là 4cm

💧Tổng hợp đề thi học kì 2 lớp 6 tất cả các môn - Cánh diều

Toán - Văn - Anh - Khoa học tự nhiên...
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Đề bài

Hãy tính diện tích phần tô đậm ở hình 6. Biết cạnh hình vuông là \(4\;cm\).

Phương pháp giải - Xem chi tiết

Bước 1: Tìm bán kính của đường tròn Bước 2: Chia đường tròn thành 4 phần bằng nhau bởi hai đường chéo của hình vuông. Tính diện tích mỗi phần dựa vào bán kính tìm được. Từ đó suy ra diện tích hình vuông.

Lời giải chi tiết

Gọi diện tích phần tô đậm là S.Dễ thấy: \({S_1} = {S_3} + {S_4}\)Do đó diện tích tô đậm bằng \(\frac{1}{4}\) diện tích hình tròn bán kính \(AB\) trừ đi diện tích tam giác \(ABC\)Ta có: cạnh hình vuông là \(4\;cm\) hay \(AB = 4\;cm\)Nên \(\frac{1}{4}\) diện tích hình tròn bán kính \(AB\) là: \(\frac{1}{4}.4.4.3,14 = 12,56\;\left( {c{m^2}} \right)\)Diện tích tam giác \(ABC\) là: \(\frac{1}{2}.4.4 = 8\;\left( {c{m^2}} \right)\)Vậy diện tích phần tô đậm là: \(12,56 - 8 = 4,56\;\left( {c{m^2}} \right)\)

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Tham Gia Group Dành Cho Lớp 6 Chia Sẻ, Trao Đổi Tài Liệu Miễn Phí

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