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知圆弧半径和高怎样求圆弧面积
人气:311 ℃ 时间:2020-03-08 19:03:20
解答
设圆心角为a,半径为r,高为h
cosa/2=h/r
a=2arccos(h/r)
把a转化成弧度:a=2arccos(h/r)*π/180°
则弧长L=2arccos(h/r)*π/180°
S=1/2Lr
=1/2*2arccos(h/r)*π/180°*r
=r*arccos(h/r)*π/180°
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