已知有一弧形弦长44.6高15,另一弧形弦长28.7且两弧形弧长相等.求弦长28.7弧形的半径

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  • 已知有一弧形弦长L1=44.6高H1=15,半径为R1,这弧所对的圆心角为A1;另一弧形弦长L2=28.7且两弧形弧长C1=C2相等.求弦长28.7弧形的半径R2?

    R1^2=(R1-H1)^2+(L1/2)^2

    R1^2=R1^2-2*R1*H1+H1^2+L1^2/4

    2*R1*H1=H1^2+L1^2/4

    R1=H1/2+L1^2/(8*H1)

    =15/2+44.6^2/(8*15)

    =24.0763

    A1=2*ARC SIN((L/2)/R)

    =2*ARC SIN((44.6/2)/24.0763)

    =135.706度

    C1=PI*R*A/180=PI*24.0763*135.706/180=128.307

    C2=C1=128.307

    L2=28.7

    Rn+1=(1+(L2-2*Rn*SIN(C2/(2*Rn)))/(L2-C2*COS(C2/(2*Rn))))*Rn

    R0=29

    R1=24.113

    R2=25.194

    R3=25.278

    R4=25.278

    R2=25.278