SOLUTION: Please help me with this. Find the center and radius of the circle. x square - 4x + y square - 12y + 36=0

Algebra ->  Equations -> SOLUTION: Please help me with this. Find the center and radius of the circle. x square - 4x + y square - 12y + 36=0      Log On


   

Question 316874: Please help me with this. Find the center and radius of the circle.
x square - 4x + y square - 12y + 36=0
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Complete the square in x and y.
x%5E2-4x%2By%5E2-12y%2B36=0
%28x%5E2-4x%2B4%29%2B%28y%5E2-12y%2B36%29%2B36=4%2B36
%28x-2%29%5E2%2B%28y-6%29%5E2=4
Compare to the general equation for a circle centered at (h,k) with a radius R,
%28x-h%29%5E2%2B%28y-k%29%5E2=R%5E2
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Center:(2,6)
Radius: 2