弦长拱高弧长在线计算器

左彬蚁1622弦长13米拱高2.2米求弧长 -
宦卫轻13550045307 ______[答案] 弦长L=13米拱高H=2.2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)=2.2/2+13^2/(8*2.2)=10.702米A=2*ARC SIN((L/2)/R)=2*ARC SIN((13/2)/10.70...

左彬蚁1622弦长28.65 拱高1.9 求弧长是多少? -
宦卫轻13550045307 ______ 弦长L=28.65 拱高H=1.9 求弧长C是多少?弧半径为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^2/42*R*H=H^2+L^2/4 R=H/2+L^2/(8*H) =1.9/2+28.65^2/(8*1.9) =54.9515 A=2*ARC SIN((L/2)/R)=2*ARC SIN((28.65/2)/54.9515)=30.221度 C=π*R*A/180=π*54.9515*30.221/180=28.9848

左彬蚁1622弧长的计算弦长20米,拱高3米,求弧长多少米?
宦卫轻13550045307 ______ 设弧所在的圆的半径为R,则: (R-拱高)^2+(弦长/2)^2=R^2 代人数值,得: (R-3)^2+10^2=R^2 整理,得:6R=109,R=109/6 设弧所对的圆心角为α α=2arcsin[(弦长/2)/R] =2arcsin(60/109) ≈66.8° 弧长=2πR*α/360° =109*πR*arcsin(60/109)/540° ≈21.18(米)

左彬蚁1622一个桥拱,已知弦长1200米,高150米,求弧长多少? -
宦卫轻13550045307 ______ 一个桥拱,已知弦长L=1200米,高H=150米,求弧长C多少? 弧半径为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) =150/2+1200^2/(8*150) =1275米 A=2*ARC SIN((L/2)/R) =2*ARC SIN((1200/2)/1275) =56.145度 C=PI*R*A/180=PI*1275*56.145/180=1249.391米

左彬蚁1622已知弦长7.42m和7.58m,拱高1m,求弧长!! -
宦卫轻13550045307 ______ 设半径=R(R-1)^2+(7.42/2)^2=R^2=>R=7.382 弧度=2arcsin(7.42/2/7.382)~=1.053 弧长=弧度*半径~=7.77 另外一个可以用类似办法.

左彬蚁1622弧长计算(拱形).已知:弦长2700mm,高300mm,求弦长? -
宦卫轻13550045307 ______ 已知:弦长L=2700mm,高H=300mm,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)^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) =300/2+2700^2/(8*300) =3187.5,, A=2*ARC SIN((L/2)/R) =2*ARC SIN((2700/2)/3187.5) =50.115度 =50.115*PI/180 =0.874676弧度 C=R*A=3187.5*0.874676=2788.03mm

左彬蚁1622已知弦长5070拱高555求弧长...在线等.. -
宦卫轻13550045307 ______ 已知弦长L=5070拱高H=555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^2/4 2*R*H=H^2+L^2/4 R=H/2+L^2/(8*H) =555/2+5070^2/(8*555) =6066.89A=2*ARC SIN((L/2)/R) =2*ARC SIN((5070/2)/6066.89) =49.4度C=PI*R*A/180=PI*6066.89*49.4/180=5030.49

左彬蚁1622已知弦长2米拱高0.3米求弧长? -
宦卫轻13550045307 ______ 设圆弧的半径为r,则1+(r-0.3)^2=r^2,1.09=0.6r,r=109/60,圆心角a=2arcsin(60/109)弧度,弧长=ar=(109/30)arcsin(60/109)≈2.117919373米.

左彬蚁1622弦长2.4米,拱高.35米,弧长怎么算 -
宦卫轻13550045307 ______ 弦长L=2.4米,拱高H=0.35米,弧长怎么算?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) =0.35/2+2.4^2/(8*0.35) =2.2321米A=2*ARC SIN((L/2)/R) =2*ARC SIN((2.4/2)/2.2321) =65.04度C=π*R*A/180=π*2.2321*65.04/180=2.5339米

左彬蚁1622请问知道弯钢玻璃弦长,高度,拱高,半径怎么算出弧长?请帮我计算这些尺寸弦长1285,高度1432,拱高43,半径4822计算弧长?列出计算过程. -
宦卫轻13550045307 ______[答案] 弦心距D=半径R-拱高H=4779半弦长L=√(R?-D?)=642.53半弧角α=arcsin(L/R)=7.6574°全弧角=2α弧长=2πR*2α/360°=1288.89