Diameter of a circle

Diameter of a circle

How to find the diameter of a circle, knowing the chord and the distance from the center of the circle to the chord?

AugustineCampbell

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Re: Diameter of a circle

Good afternoon!!

If Radius of the circle R, Chord measure is C and distance from the center of the circle to the chord is D:
$$R^2=\left(\dfrac{C}{2}\right)^2+D^2\\\\\boxed{R=\sqrt{\left(\dfrac{C}{2}\right)^2+D^2}}$$

Knowing R, you have the diameter.

I hope I have helped!

Baltuilhe

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