SOLUTION: Find the area if the circle given by the equation x^2 +y^2 +6x+2y+6=0

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Question 1089923: Find the area if the circle given by the equation x^2 +y^2 +6x+2y+6=0
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

if the circle given by the equation x%5E2+%2By%5E2+%2B6x%2B2y%2B6=0, first write it in %28x-h%29%5E2%2B%28y-k%29%5E2=r%5E2 form and find a radius
%28x%5E2%2B6x%29+%2B%28y%5E2+%2B2y%29%2B6=0...complete square
%28x%5E2%2B6x%2Bb%5E2%29-b%5E2+%2B%28y%5E2+%2B2y%2Bb%5E2%29-b%5E2%2B6=0
%28x%5E2%2B6x%2B3%5E2%29-3%5E2+%2B%28y%5E2+%2B2y%2B1%5E2%29-2%5E2%2B6=0
%28x%2B3%29%5E2-9+%2B%28y%2B1%29%5E2-1%2B6=0
%28x%2B3%29%5E2+%2B%28y%2B3%29%5E2-10%2B6=0
%28x%2B3%29%5E2+%2B%28y%2B3%29%5E2-4=0
%28x%2B3%29%5E2+%2B%28y%2B3%29%5E2=4

%28x%2B3%29%5E2+%2B%28y%2B3%29%5E2=2%5E2=> r=2
the area is A=r%5E2pi=>A=2%5E2pi=>=>A=4pi approximately A=12.56