Question

一半径500米,弦长50米的弧长是多少?该弧长对应的圆心角多少度?

Answer 1

一半径R=500米,弦长L=50米的弧长C是多少?该弧长对应的圆心角A多少度?

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

=2*ARC SIN(50/(2*500))

=2*ARC SIN(0.05)

=5.732度

=5.732*PI/180

=0.1004弧度

C=A*R=0.1*500=50.02米

弧长C是50.02米,该弧长对应的圆心角A5.732度.