弦長L=15.7m,弦高H=15m,求弧長C?
弧半徑為R,弧所對(duì)的圓心角為A.
R^2=(R-H)^2+(L/2)^2
R^2=R^2-2*H*R+H^2+L^2/4
2*H*R=H^2+L^2/4
R=H/2+L^2/(8*H)
=15/2+15.7^2/(8*15)
=9.554m
A=2*ARC SIN((L/2)/R)
=2*ARC SIN((15.7/2)/9.554)
=110.498度
C=PI*R*A/180=PI*9.554*110.498/180=18.4256m
弦長L=0.6m,弦高H=0.6m,求弧長C?
弧半徑為R,弧所對(duì)的圓心角為A.
R^2=(R-H)^2+(L/2)^2
R^2=R^2-2*H*R+H^2+L^2/4
2*H*R=H^2+L^2/4
R=H/2+L^2/(8*H)
=0.6/2+0.6^2/(8*0.6)
=0.375m
A=2*ARC SIN((L/2)/R)
=2*ARC SIN((0.6/2)/0.375)
=106.26度
C=PI*R*A/180=PI*0.375*106.26/180=0.6955m
圓弧計(jì)算:弦長15.7m,弦高15m,半徑9.55,求弧長?弦長0.6m,弦高0.6m,半徑0.38m,求弧長?
圓弧計(jì)算:弦長15.7m,弦高15m,半徑9.55,求弧長?弦長0.6m,弦高0.6m,半徑0.38m,求弧長?
幫我算下,我怎么算都錯(cuò)
幫我算下,我怎么算都錯(cuò)
數(shù)學(xué)人氣:300 ℃時(shí)間:2020-03-29 05:41:31
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