SOLUTION: I really need help solving the following problem. Any assistance you can provide me with in doing so will be greatly appreciated. Thanks! Find an equation for a circle satisfying

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Question 169976: I really need help solving the following problem. Any assistance you can provide me with in doing so will be greatly appreciated. Thanks!
Find an equation for a circle satisfying the given conditions.
Center (4,5), diameter of length 8.2
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
If the diameter is 8.2, then the radius is simply half the diameter. So the radius is r=8.2%2F2=4.1


Since the center is (4,5), this means that h=4 and k=5. Note: remember, the center of any circle is (h,k)

%28x-h%29%5E2%2B%28y-k%29%5E2=r%5E2 Start with the general equation of a circle


%28x-4%29%5E2%2B%28y-5%29%5E2=%284.1%29%5E2 Plug in h=4, k=5 (this is the center) and r=4.1


%28x-4%29%5E2%2B%28y-5%29%5E2=16.81 Square 4.1 to get 16.81


So the equation of the circle with a center of (4,5) and a diameter of 8.2 units is %28x-4%29%5E2%2B%28y-5%29%5E2=16.81