SOLUTION: Give the equation for the circle with center C(3,-2) and radius 4.

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Question 113898: Give the equation for the circle with center C(3,-2) and radius 4.
Answer by jim_thompson5910(21667) About Me  (Show Source):
You can put this solution on YOUR website!
The general equation of a circle is %28x-h%29%5E2%2B%28y-k%29%5E2=r%5E2 where (h,k) is the center and r is the radius.

So using this equation, we get

%28x-3%29%5E2%2B%28y-%28-2%29%29%5E2=4%5E2 Plug in h=3,k=-2, and r=4. These are given


%28x-3%29%5E2%2B%28y%2B2%29%5E2=4%5E2 Rewrite y-%28-2%29 as y%2B2

%28x-3%29%5E2%2B%28y%2B2%29%5E2=16 Square 4 to get 16


So the equation for the circle with center C(3,-2) and radius 4 is %28x-3%29%5E2%2B%28y%2B2%29%5E2=16