How do you find the height of something inside a circle?

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Say you had a circle r=5 and it is on a graph (just to simplify things) so that the centre of the circle is at the origin. If I was to pick any x axis, how would I know what are the two y co-ordinates of the circle.

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On OP's request, I post my comment as an answer. $$y = \pm \sqrt{5^2-x^2} = \pm \sqrt{25 - x^2}$$