SOLUTION: Find an equation of the circle with center (-2,4) and radius 3 THANK YOU SO MUCH

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Question 181822: Find an equation of the circle with center (-2,4) and radius 3
THANK YOU SO MUCH
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
General circle equation: %28x-h%29%5E2%2B%28y-k%29%5E2=r%5E2

Note: (h,k) is the center and "r" is the radius

So in our case, h=-2, and k=4, since the center is (-2,4), and r=3 (since the radius is 3)


%28x-h%29%5E2%2B%28y-k%29%5E2=r%5E2 Start with the given equation


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


%28x-%28-2%29%29%5E2%2B%28y-4%29%5E2=9 Square 3 to get 9


%28x%2B2%29%5E2%2B%28y-4%29%5E2=9 Rewrite x-%28-2%29 as x%2B2


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Answer:

So the equation of the circle is %28x%2B2%29%5E2%2B%28y-4%29%5E2=9