弦长32米弧高6米,求弧长?
问题描述:
弦长32米弧高6米,求弧长?
答
弦长L=32米弧高H=6米,求弧长C?弧半径为R,弧所对的圆心角为A.R^2=(R-H)^2+(L/2)^2R^2=R^2-2*R*H+H^2+L^2/42*R*H=H^2+L^2/4R=H/2+L^2/(8*H)=6/2+32^2/(8*6)=24.333米A=2*ARC SIN((L/2)/R)=2*ARC SIN((32/2)/24.333)=82...