document.write( "Question 875794: What is the standard equation for the circle that passes through the points:
\n" ); document.write( "(-5, 0)
\n" ); document.write( "(0, 4)
\n" ); document.write( "(2, 4) \n" ); document.write( "

Algebra.Com's Answer #528426 by lwsshak3(11628) $\"\"$ $\"About$

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What is the standard equation for the circle that passes through the points:
\n" ); document.write( "(-5, 0)
\n" ); document.write( "(0, 4)
\n" ); document.write( "(2, 4)
\n" ); document.write( "**
\n" ); document.write( "Standard form of equation for a circle: $\"%28x-h%29%5E2%2B%28y-k%29%5E2=r%5E2\"$ ,(h,k)=center, r=radius
\n" ); document.write( "3 equations:
\n" ); document.write( " $\"%28-5-h%29%5E2%2B%280-k%29%5E2=r%5E2\"$
\n" ); document.write( " $\"%280-h%29%5E2%2B%284-k%29%5E2=r%5E2\"$
\n" ); document.write( " $\"%282-h%29%5E2%2B%284-k%29%5E2=r%5E2\"$
\n" ); document.write( "..
\n" ); document.write( "25+10h+h^2+k^2=r^2
\n" ); document.write( "h^2+16-8k+k^2=r^2
\n" ); document.write( "(4-4h+h^2+16-8k+k^2=r^2
\n" ); document.write( "..\r
\n" ); document.write( "\n" ); document.write( "9+10h+8k=0
\n" ); document.write( "5+14h+8k=0
\n" ); document.write( "-4+4h=0
\n" ); document.write( "h=1
\n" ); document.write( "8k=-19
\n" ); document.write( "k=-19/8
\n" ); document.write( "r^2=6^2+(-19/8)^2≈41.64
\n" ); document.write( "equation for the circle: $\"%28x-1%29%5E2%2B%28y%2B%2819%2F8%29%29%5E2=41.64\"$ (approximate only, due to rounding errors)\r
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