Question

已知弦长10.8米,拱高0.9米,求弧长是多少

Answer 1

问：已知弦长10.8米,拱高0.9米,求弧长是多少

答：您好呀，已知弦长10.8米,拱高0.9米,半径是16.65米计算过程如下：弦长为L，拱高为H,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)R=0.9/2+10.8^2/(8*0.9)R=16.65

答：您好呀，已知弦长10.8米,拱高0.9米,弧长是10.99米计算过程如下：弦长为L，拱高为H,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)R=0.9/2+10.8^2/(8*0.9)R=16.65圆心角A=2*ARC SIN((L/2)/R)A=37.85°C=π*R*A/180C=π*16.65*37.85/180C=10.99

答：拓展资料：弧长计算公式：n是圆心角度数，r是半径，l是圆心角弧长。L=n(圆心角度数)× π(1)× r(半径)/180