弦长2200,弧高300,R2166.5求弧长
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弦长2200,弧高300,R2166.5求弧长
![弦长2200,弧高300,R2166.5求弧长](/uploads/image/z/15787391-23-1.jpg?t=%E5%BC%A6%E9%95%BF2200%2C%E5%BC%A7%E9%AB%98300%2CR2166.5%E6%B1%82%E5%BC%A7%E9%95%BF)
弦长L=2200,弧高H=300,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+2200^2/(8*300)
=2166.67
A=2*ARC SIN((L/2)/R)
=2*ARC SIN((2200/2)/2166.67)
=61.02度
=61.02*PI/180
=1.065弧度
C=A*R=1.065*2166.67=2307.52
弦长L=2200,R=2166.5,求弧长C?
A=2*ARC SIN((L/2)/R)
=2*ARC SIN((2200/2)/2166.5)
=61.03度
=61.03*PI/180
=1.0651弧度
C=A*R=1.0651*2166.5=2307.54
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+2200^2/(8*300)
=2166.67
A=2*ARC SIN((L/2)/R)
=2*ARC SIN((2200/2)/2166.67)
=61.02度
=61.02*PI/180
=1.065弧度
C=A*R=1.065*2166.67=2307.52
弦长L=2200,R=2166.5,求弧长C?
A=2*ARC SIN((L/2)/R)
=2*ARC SIN((2200/2)/2166.5)
=61.03度
=61.03*PI/180
=1.0651弧度
C=A*R=1.0651*2166.5=2307.54