document.write( "Question 1163741: There are two circles that go through (9,2). Each one is tangent to both coordinateaxes. Find the center and the radius for each circle. Start by drawing a clear diagram. \n" ); document.write( "

Algebra.Com's Answer #787931 by greenestamps(13334) $\"\"$ $\"About$

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\n" ); document.write( "The centers of both circles are equidistant from both axes; so let the coordinates of the centers of the circles be (h,h).

\n" ); document.write( "Using the distance formula to say that the distance from (9,2) to (h,h) is equal to h should give us two values for h, giving us the centers of the two circles.

\n" ); document.write( " $\"%28h-9%29%5E2%2B%28h-2%29%5E2+=+h%5E2\"$
\n" ); document.write( " $\"h%5E2-18h%2B81%2Bh%5E2-4h%2B4+=+h%5E2\"$

\n" ); document.write( "That is indeed a quadratic equation; it will give us two solutions.

\n" ); document.write( "I leave it to you to do the work to finish the problem.

\n" ); document.write( "Note both values of h are whole numbers; if you're not getting that result, something is wrong with your work....

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