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合聚咖

圆弧弦长4.45m,弧上一点到弦的垂线的垂足刚好为弦的中点,且垂线为0.3m求弧的半径

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圆弧弦长L=4.45m,弧上一点到弦的垂线的垂足刚好为弦的中点,且垂线为H=0.3m求弧的半径R?

R^2=(R-H)^2+(L/2)^2

R^2=R^2-2*R*H+H^2+L^2/4

2*R*H=H^2+L^2/4

R=H/2+L^2/(8*H)

=0.3/2+4.45^2/(8*0.3)

=8.401m