document.write( "Question 1143719: Write the equation of a circle with a center at (-7, -7) and a radius of 7. \n" ); document.write( "

Algebra.Com's Answer #764599 by greenestamps(13200) $\"\"$ $\"About$

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\n" ); document.write( "The distance from a fixed point (h,k) and variable point (x,y) is given by the distance formula (AKA the Pythagorean Theorem)

\n" ); document.write( " $\"d+=+sqrt%28%28x-h%29%5E2%2B%28y-k%29%5E2%29\"$

\n" ); document.write( "A circle is the set of all points (x,y) whose distance from a fixed point (h,k) is a constant, called the radius of the circle. So the distance from the center of a circle to any point on the circle -- the radius of the circle -- is given by

\n" ); document.write( " $\"r+=+sqrt%28%28x-h%29%5E2%2B%28y-k%29%5E2%29\"$

\n" ); document.write( "Square both sides to get the equation of the circle in its usual form:

\n" ); document.write( " $\"%28x-h%29%5E2%2B%28y-k%29%5E2+=+r%5E2\"$

\n" ); document.write( "Now just plug in the given numbers: center (h,k) = (-7,-7); radius r=7. \n" ); document.write( "

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