document.write( "Question 54388This question is from textbook College Algebra
\n" ); document.write( ": Write the standard from of the equation and the general form of the equation of each circle of radius r and center (h,k);graph each circle.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "The problem says: r=4; (h,k)=(2,-3) \n" ); document.write( "

Algebra.Com's Answer #36640 by funmath(2933) $\"\"$ $\"About$

You can put this solution on YOUR website!
Standard Form of the Equation of a Circle: $\"highlight%28%28x-h%29%5E2%2B%28y-k%29%5E2=r%5E2%29\"$
\n" ); document.write( "Where (h,k) are the center of the cicle and r is the radius.
\n" ); document.write( "Your center is (2,-3) and r=4
\n" ); document.write( " $\"%28x-2%29%5E2%2B%28y-%28-3%29%29%5E2=4%5E2\"$
\n" ); document.write( " $\"highlight%28%28x-2%29%5E2%2B%28y%2B3%29%5E2=16%29\"$
\n" ); document.write( "General Form of the equation of the circle: $\"highlight%28x%5E2%2By%5E2%2Bax%2Bbx=c%29\"$
\n" ); document.write( "Expand the standard form and put it in order:
\n" ); document.write( " $\"%28x-2%29%5E2%2B%28y%2B3%29%5E2=16\"$
\n" ); document.write( " $\"%28x-2%29%28x-2%29%2B%28y%2B3%29%28y%2B3%29=16\"$
\n" ); document.write( "

\n" ); document.write( " $\"%28x%5E2-2x-2x%2B4%29%2B%28y%5E2%2B3y%2B3y%2B9%29=16\"$
\n" ); document.write( " $\"%28x%5E2-4x%2B4%29%2B%28y%5E2%2B6y%2B9%29=16\"$
\n" ); document.write( " $\"x%5E2%2By%5E2-4x%2B6y%2B4%2B9=16\"$
\n" ); document.write( " $\"x%5E2%2By%5E2-4x%2B6y%2B13=16\"$
\n" ); document.write( " $\"x%5E2%2By%5E2-4x%2B6y%2B13-13=16-13\"$
\n" ); document.write( " $\"highlight%28x%5E2%2By%5E2-4x%2B6y=3%29\"$
\n" ); document.write( "Happy Calculating!!! \n" ); document.write( "

\n" );