弧长6m,弦高0.1m,那这个圆的半径是多少?

2025-12-25 07:36:28
推荐回答(2个)
回答1:

解:圆的半径为x

根据题意,可得方程

cos(6÷2÷x)=(x-0.1)/x

cos(3/x)=(x-0.1)/x,cos(3/x)=1-0.1(1/x)

得:x≈44.983

圆的半径为44.983米

回答2:

弧长C=6m,弦高H=0.1m,那这个圆的半径R是多少?
Rn+1=(1-(Rn*COS(C/(2*Rn))-Rn+H)/((C/2)*SIN(C/(2*Rn))-H))*Rn

R0=44

R1=44.9413
R2=44.9833
R4=44.9833

R=44.9833m