document.write( "Question 551180: How do i Write the equation of a circle with endpoints of the diameter at
\n" );
document.write( "(4, -3) and (-2, 5).
\n" );
document.write( " \n" );
document.write( "
Algebra.Com's Answer #359507 by nyc_function(2741)![]() ![]() You can put this solution on YOUR website! Use the Midpoint Formula to find the circle's center. The Midpoint Formula is ((x1+x2)/2, (y1+y2)/2) or (average of the x-coordinates, average of the y-coordinates). The average of the x-coordinates is h, and the average of the y-coordinates is k.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "h = (-2 + 4)/2\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "h = 2/2 \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "h = 1\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "k = (-3 + 5)/2\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "k = 2/2\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "k = 1\r \n" ); document.write( "\n" ); document.write( "This circle is centered at the point (1,1).\r \n" ); document.write( "\n" ); document.write( "We now find the distance from one of the given points and the center point (1,1).\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The radius is 5.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "We now plug into the general equation of the circle formula.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "(x - 1)^2 + (y - 1)^2 = (5)^2\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( "(x - 1)^2 + (y - 1)^2 = 25\r \n" ); document.write( "\n" ); document.write( "If you don't understand, write back....\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |