急...弦长:9.5m.弦高:1.73m(从弦到弧的距离).求弧长..
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弦长:L=9.5m.弦高:H=1.73m(从弦到弧的距离).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*H*R+H^2+L^2/4

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

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

=1.73/2+9.5^2/(8*1.73)

=7.386m

A=2*ARC SIN((L/2)/R)

=2*ARC SIN((9.5/2)/7.386)

=80.05度

=80.05*PI/180

=1.397112弧度

C=R*A=7.386*1.397112=10.319m