已知弧高0.19和底长0.95怎样求弧长?
2个回答

已知弧高H=0.19和底长L=0.95怎样求弧长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)

=0.19/2+0.95^2/(8*0.19)

=0.6888

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

=2*ARC SIN((0.95/2)/0.6888)

=87.21度

=87.21*PI/180

=1.52203弧度

C=A*R=1.52203*0.6888=1.0483