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Giải bài 1.3 trang 7 sách bài tập toán 11 - Kết nối tri thức với cuộc sống

Một đường tròn có bán kính 20m. Tìm độ dài của cung trên đường tròn đó có số đo là

🐻Tổng hợp đề thi học kì 2 lớp 11 tất cả các môn - Kết nối tri thức

Toán - Văn - Anh - Lí - Hóa - Sinh
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Đề bài

Một đường tròn có bán kính 20m. Tìm độ dài của cung trên đường tròn đó có số đo là a) \(\frac{{2\pi }}{7}\);            b) \({36^0}\).

Phương pháp giải - Xem chi tiết

Áp dụng công thức: Trên đường tròn có bán kính \(R\), cung có số đo \(\alpha \) rad có độ dài \(l = \alpha R\). Đối với cung có số đo độ, ta đổi độ sang radian bằng công thức \({a^0} = a.\frac{\pi }{{180}}\)(rad).

Lời giải chi tiết

🍃a) Độ dài của cung \(\frac{{2\pi }}{7}\) là \(l = \alpha .R = \frac{{2\pi }}{7}.20 = \frac{{40\pi }}{7}\,(m)\).

𒅌b) \({36^0} = 36.\frac{\pi }{{180}} = \frac{\pi }{5}\)

😼Độ dài của cung \({36^0}\) là \(l = \alpha .R = \frac{\pi }{5}.20 = 4\pi \,(m)\).

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Tham Gia Group Dành Cho Lớp 11 Chia Sẻ, Trao Đổi Tài Liệu Miễn Phí

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