document.write( "Question 314550: Find the center and radius of each circle. Then graph the circle. x squared + y squared + 6x + 4y + 12=0 \n" ); document.write( "

Algebra.Com's Answer #224918 by Fombitz(32388) $\"\"$ $\"About$

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Complete the square in x and y.
\n" ); document.write( " $\"x%5E2%2By%5E2+%2B+6x+%2B+4y+%2B+12=0\"$
\n" ); document.write( " $\"%28x%5E2%2B6x%29%2B%28y%5E2%2B4y%29+%2B+12=0\"$
\n" ); document.write( " $\"%28x%5E2%2B6x%2B9%29%2B%28y%5E2%2B4y%2B4%29+%2B+12=9%2B4\"$
\n" ); document.write( " $\"%28x%2B3%29%5E2%2B%28y%2B2%29%5E2+=1\"$
\n" ); document.write( "Compare to the general equation for a circle centered at (h,k) with a radius R is:
\n" ); document.write( " $\"%28x-h%29%5E2%2B%28y-k%29%5E2=R%5E2\"$
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\n" ); document.write( "Center:( $\"-3\"$ , $\"-2\"$ )
\n" ); document.write( "Radius: $\"R=1\"$
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