SOLUTION: Find the center and radius of a circle given: x^2+y^2-12y+31=0

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Question 887540: Find the center and radius of a circle given:
x^2+y^2-12y+31=0
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Complete the Square for the y, and put the equation into standard form.

Click to see lesson that includes how to complete the square.

Adjust the equation into x%5E2%2B%28y-k%29%5E2=r%5E2.
In your example, the x coordinate of the center is 0. The center of your circle will be some point, (0,k) and radius is r.