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Giải bài 1 trang 96 sách bài tập toán 9 - Chân trời sáng tạo tập 1

Quan sát Hình 8 và tính a) Số đo cung AmB. b) Độ dài cung AmB. c) Diện tích hình quạt tròn OAmB. d) Diện tích hình viên phân giới hạn bởi cung AmB và dây AB.

Tổng hợp Đề thi vào 10 có đáp án và lời giải

Toán - Văn - Anh
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Đề bài

Quan sát Hình 8 và tính

a) Số đo cung AmB.

b) Độ dài cung AmB.

c) Diện tích hình quạt tròn OAmB.

ꦑd) Diện tích hình viên phân giới hạn bởi cung AmB và dây AB.

Phương pháp giải - Xem chi tiết

Dựa vào: Trên đường tròn bán kính R, độ dài l của một cung có số đo noಞ được tính theo công thức \(l = \frac{{\pi Rn}}{{180}}\).

Diện tích hình quạt tròn: \(S = \frac{{\pi {R^2}n}}{{360}}\).

Lời giải chi tiết

a) sđ \(\overset\frown{AmB}=\widehat{AOB}={{90}^{o}}\) b) \({{l}_{\overset\frown{AmB}}}=\frac{\pi .2.90}{180}=\pi \approx 3,14(cm)\) c) \({S_{OAmB}} = \frac{{\pi {{.2}^2}.90}}{{360}} = \pi  \approx 3,14(c{m^2})\). d) Diện tích hình viên phân giới hạn bởi cung AmB và dây AB: \({S_{AmB}} = {S_{OAmB}} - {S_{\Delta OAB}} = \pi  - 2 \approx 1,14(c{m^2})\).

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Tham Gia Group Dành Cho Lớp 9 - Ôn Thi Vào Lớp 10 Miễn Phí

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