一个孤形弦长是L=220厘米!孤高是H=80厘米求孤长C是多少厘米?
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)
=80/2+220^2/(8*80)
=115.625厘米
A=2*ARCSIN((L/2)/R)
=2*ARCSIN((220/2)/115.625)
=144.11度
C=PI*R*A/180=PI*115.625*144.11/180=290.82厘米
PI是圆周率,PI=3.1415926535.