已知弦长L=1525和弧高H=390,求弧长C的公式?
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)
=390/2+1525^2/(8*390)
=940.393
A=2*ARC SIN((L/2)/R)
=2*ARC SIN((1525/2)/940.393)
=108.35度
=108.35*PI/180
=1.891143弧度
C=R*A=940.393*1.891143=1778.42