document.write( "Question 538337: Find an equation of the circle: (2,-5), (18,25) \n" ); document.write( "

Algebra.Com's Answer #353149 by KMST(5396) $\"\"$ $\"About$

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\n" ); document.write( "\"Find an equation for the circle centered at (2,-5), that contains the point (18,25).\"
\n" ); document.write( "I'll solve that.
\n" ); document.write( "According to Pythagoras, the radius (r) of that circle, squared, is
\n" ); document.write( "

\n" ); document.write( "If a point (x,y) is in that circle, its distance to the center is also r, so according to Pythagoras,
\n" ); document.write( " $\"%28x-2%29%5E2%2B%28y-%28-5%29%29%5E2=%28x-2%29%5E2%2B%28y%2B5%29%5E2=1156=34%5E2\"$
\n" ); document.write( "An elegant form of the equation for that circle would be
\n" ); document.write( " $\"%28x-2%29%5E2%2B%28y%2B5%29%5E2=34%5E2\"$
\n" ); document.write( "No memorized formulas were abused in the solving of this problem. \n" ); document.write( "

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