document.write( "Question 746357: How do I write an equation for a circle whose center is (3,-1) and radius is 2? \n" ); document.write( "

Algebra.Com's Answer #454232 by savvyhush23(50) $\"\"$ $\"About$

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How do I write an equation for a circle whose center is (3,-1) and radius is 2?
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\n" ); document.write( "Which equation? the standard or the general equation?
\n" ); document.write( "In solving this problem, the standard equation is use: $\"%28x-h%29%5E2%2B%28y-k%29%5E2=r%5E2\"$
\n" ); document.write( "Center is (3,-1) so h = 3 and k = -1, r^2 = 4
\n" ); document.write( " $\"%28x-3%29%5E2%2B%28y%2B1%29%5E2=4\"$ , this is the standard equation
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\n" ); document.write( "Simplifying, $\"%28x%5E2-6x%2B9%29%2B%28y%5E2%2B2y%2B1%29=4\"$
\n" ); document.write( " $\"x%5E2%2By%5E2-6x%2B2y%2B6=0\"$ , this is the general equation of the circle. \n" ); document.write( "

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