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