Math - Equation of the circle

Find an equation of the circle whose endpoints of a diameter are (−3,6) and (5,−14).

I tried to figure it out, but I'm not sure if my answer is correct.
I got..
(x-2)^2 + (y + 4)^2 = 116

Any help would be great. Thank you!

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asked by Layna
  1. the centre must be the midpoint of the diameter which would give you (1, -4)
    so the equation must be
    (x-1)^2 + (y+4)^2 = r^2

    sub in one of the points on the circle , I will use (-3,6)
    (-4)^2 + (10)^2 = r^2
    r^2 = 16+100= 116

    so (x-1)^2 + (y+4)^2 = 116

    check by subbing in the other endpoint, it works

    You made one small error

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    posted by Reiny
  2. Thank you very much your help. I appreciate it! :)

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    posted by Layna

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