弧长100.4,拱高4.2,求弦长.
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弧长100.4,拱高4.2,求弦长.
![弧长100.4,拱高4.2,求弦长.](/uploads/image/z/19287552-48-2.jpg?t=%E5%BC%A7%E9%95%BF100.4%2C%E6%8B%B1%E9%AB%984.2%2C%E6%B1%82%E5%BC%A6%E9%95%BF.)
弧长C=100.4,拱高H=4.2,求弦长L?
弧半径为R,弧所对的圆心角为A.
Rn+1=(1-(Rn*COS(C/(2*Rn))-Rn+H)/((C/2)*SIN(C/(2*Rn))-H))*Rn
R0=300
R1=299.299
R2=299.302
R3=299.302
R=299.302
A=C/R=100.4/299.302=0.335447弧度=0.335447*180/PI=19.22度
L=2*R*SIN(A/2)
=2*299.302*SIN(19.22/2)
=99.93
弧半径为R,弧所对的圆心角为A.
Rn+1=(1-(Rn*COS(C/(2*Rn))-Rn+H)/((C/2)*SIN(C/(2*Rn))-H))*Rn
R0=300
R1=299.299
R2=299.302
R3=299.302
R=299.302
A=C/R=100.4/299.302=0.335447弧度=0.335447*180/PI=19.22度
L=2*R*SIN(A/2)
=2*299.302*SIN(19.22/2)
=99.93