Question

弧长32.4米 拱高9米 求半径

Answer 1

圆弧弦长L=32.4米,拱高H=9米,求半径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)

=9/2+32.4^2/(8*9)

=19.08米