document.write( "Question 1039382: Find equation of the circle whose diameter has endpoints (1,-6) and (-9,0) \n" ); document.write( "
Algebra.Com's Answer #654113 by MathTherapy(10552)\"\" \"About 
You can put this solution on YOUR website!

\n" ); document.write( "Find equation of the circle whose diameter has endpoints (1,-6) and (-9,0)
\n" ); document.write( "
1st: Find the CENTER, which is the midpoint of the diameter
\n" );
document.write( "() =====> (\"matrix%281%2C3%2C+%281+%2B+-+9%29%2F2%2C+%22%2C%22%2C+%28-+6+%2B+0%29%2F2%29\") =====> \"matrix%281%2C5%2C+%22%28%22%2C+-+4%2C+%22%2C%22%2C+-+3%2C+%22%29%22%29\" =====> \"matrix%281%2C5%2C+%22%28%22%2C+h%2C+%22%2C%22%2C+k%2C+%22%29%22%29\" \r
\n" );
document.write( "\n" );
document.write( "2nd: Use the CENTER, or (h, k) and one of the 2 points to determine \"r%5E2\", or the \"%28radius%29%5E2\"
\n" );
document.write( "\"%28x+-+h%29%5E2+%2B+%28y+-+k%29%5E2+=+r%5E2\"
\n" );
document.write( "\"%28-+9+-+-+4%29%5E2+%2B+%280+-+-+3%29%5E2+=+r%5E2\"
\n" );
document.write( "\"%28-+9+%2B+4%29%5E2+%2B+%283%29%5E2+=+r%5E2\"
\n" );
document.write( "\"%28-+5%29%5E2+%2B+3%5E2+=+r%5E2\"
\n" );
document.write( "\"25+%2B+9+=+r%5E2\"____\"34+=+r%5E2\"\r
\n" );
document.write( "\n" );
document.write( "3rd: Use the CENTER, or (h, k) and \"r%5E2\" to form the equation of the circle
\n" );
document.write( "\"%28x+-+h%29%5E2+%2B+%28y+-+k%29%5E2+=+r%5E2\"
\n" );
document.write( "\"%28x+-+-+4%29%5E2+%2B+%28y+-+-+3%29%5E2+=+34\" ------- Substituting (- 4, - 3) for (h, k), and 34 for \"r%5E2\"
\n" );
document.write( " \n" );
document.write( "
\n" );