document.write( "Question 1167224: The endpoints of the diameter of the circle are (4,5) and (8,7). Find the equation of the circle in standard form
\n" ); document.write( " \n" ); document.write( "

Algebra.Com's Answer #791828 by ikleyn(52847) $\"\"$ $\"About$

You can put this solution on YOUR website!
.
\n" ); document.write( "

\r\n" );
document.write( "\r\n" );
document.write( "The center has coordinates\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "    x =  = 6    (the average of x-coordinates of endpoints).\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "    y =  = 6    (the average of y-coordinates of endpoints).\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "The radius is the distance from the center to either of endpoints\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "    r =  =  = .\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "The equation of the circle in the standard form is\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "     +  = 5.      ANSWER\r\n" );
document.write( "

\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Solved.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );