How to calculate the radius when the chord length and arch height are known? I'm not good at mathematics, because I need to find a method in practice, because I need to calculate frequently, I don't know if I can use the equation?

How to calculate the radius when the chord length and arch height are known? I'm not good at mathematics, because I need to find a method in practice, because I need to calculate frequently, I don't know if I can use the equation?

When chord length L and arch height h are known, radius r?
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)
Can it solve your problem?

A formula for calculating radius with known chord length and arch height

Let radius be x, chord length be a and arch height be B
x^2=（x-b）^2+(a/2)^2
x^2=x^2-2bx+b^2+a^2/4
2bx=b^2+a^2/4
x=b/2+a^2/8b
I'm glad to answer for you,
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Arc length 900, arch height 50, chord length 890, help me calculate the radius of the circle, thank you

Let the radius be X
Then: X * x - (890 / 2) * (890 / 2) = (x-50) * (x-50)
X=2005.25
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