弦长3800mm弦高600mm 求弧长

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弦长3800mm弦高600mm 求弧长
弦长3800mm弦高600mm 求弧长

弦长3800mm弦高600mm 求弧长
弦长L=3800mm弦高H=600mm 求弧长C?
弧半径为R,弧所对的圆心角为A.
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)
=600/2+3800^2/(8*600)
=3308.33mm
A=2*ARC SIN((L/2)/R)
=2*ARC SIN((3800/2)/3308.33)
=70.102度
=70.102*PI/180
=1.223515弧度
C=R*A=3308.33*1.223515=4047.8mm