弓形面积公式
弦长l=30,高h=6.16求弓形面积s?
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)
=6.16/2+30^2/(8*6.16)
=21.343
a=2*arc
sin((l/2)/r)
=2*arc
sin((30/2)/21.343)
=89.31度
s=pi*r^2*a/360-l*r*cos(a/2)/2
=pi*21.343^2*89.31/360-30*21.343*cos(89.31/2)/2
=127.27