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 #654106 by ikleyn(52782)\"\" \"About 
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\n" ); document.write( "Find equation of the circle whose diameter has endpoints (1,-6) and (-9,0)
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document.write( "The center is in the point  \"x%5B0%5D\" = \"%28%28-9%29%2B1%29%2F2\" = \"-4\",  \"y%5B0%5D\" = \"%28%28-6%29+%2B+0%29%2F2\" = \"-3\".\r\n" );
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document.write( "The diameter of the circle is  \"d\" = \"sqrt%28%28%28-9%29-1%29%5E2+%2B+%280-%28-6%29%29%5E2%29\" = \"sqrt%28%28-10%29%5E2+%2B+6%5E2%29\" = \"sqrt%28100+%2B+36%29\" = \"sqrt%28136%29\".\r\n" );
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document.write( "Hence, the radius of the circle is   r = \"sqrt%28136%29%2F2\" = \"%282%2Asqrt%2834%29%29%2F2\" = \"sqrt%2834%29\".\r\n" );
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document.write( "Finally, the equation of the circle is \r\n" );
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document.write( "\"%28x-%28-4%29%29%5E2+%2B+%28y-%28-3%29%29%5E2\" = \"r%5E2\",  or\r\n" );
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document.write( "\"%28x%2B4%29%5E2+%2B+%28y%2B3%29%5E2\" = \"34\".\r\n" );
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