Question

弦长11.7m,弦到圆弧的距离为3m,这个圆弧的面积是多少?

Answer 1

R=H/2+L^2/(8*H)

=3/2+11.7^2/(8*3)

=7.204m

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

=2*ARC SIN((11.7/2)/7.204)

=108.6度

S=PI*R^2*A/360-L*R*COS(A/2)/2

=PI*7.204^2*108.6/360-11.7*7.204*COS(108.6/2)/2

=24.588平方米