Diameter of a circle

Diameter of a circle

Postby AugustineCampbell » Fri Feb 01, 2019 8:24 am


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

Postby Baltuilhe » Mon Feb 04, 2019 12:39 pm

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:
[tex]R^2=\left(\dfrac{C}{2}\right)^2+D^2\\\\\boxed{R=\sqrt{\left(\dfrac{C}{2}\right)^2+D^2}}[/tex]

Knowing R, you have the diameter.

I hope I have helped!

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