SOLUTION: Write an equation for the circle that is centered at (−4, 5) and tangent to the x-axis.

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Question 1158587: Write an equation for the circle that is centered at (−4, 5) and tangent to the x-axis.
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

an equation for the circle is:
%28x-h%29%5E2%2B%28y-k%29%5E2=r%5E2
if the circle is centered at (-4, 5) , h=-4 and k=5
%28x-%28-4%29%29%5E2%2B%28y-5%29%5E2=r%5E2
%28x%2B4%29%5E2%2B%28y-5%29%5E2=r%5E2
if the circle tangent to the x-axis, radius is equal to the distance of the center from the x-axis which is 5

%28x%2B4%29%5E2%2B%28y-5%29%5E2=5%5E2
%28x%2B4%29%5E2%2B%28y-5%29%5E2=25