知道弦长1.6m,弧高0.65,怎么求弧长?
1个回答

知道弦长L=1.6m,弧高H=0.65,怎么求弧长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)

=0.65/2+1.6^2/(8*0.65)

=0.8173m

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

=2*ARC SIN((1.6/2)/0.8173)

=156.375度

C=PI*R*A/180=PI*0.8173*156.375/180=2.231m