SOLUTION: x^2+y^2-8x-16y+44=0 i need to find the center and radius of this circle.

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Question 307925: x^2+y^2-8x-16y+44=0
i need to find the center and radius of this circle.

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
x^2+y^2-8x-16y+44=0
i need to find the center and radius of this circle.
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Rearrange it into "standard form", (x-h)^2 + (y-k)^2 = r^2
x%5E2+-+8x+%2B+y%5E2+-16y+=+-44
Complete both squares for x and y
x%5E2+-+8x+%2B+16+%2B+y%5E2+-+16y+%2B+64+=+-44+%2B+16+%2B+64+=+36
%28x-4%29%5E2+%2B+%28y-8%29%5E2+=+6%5E2
---> center at (h,k) = (4,8)
radius = 6