document.write( "Question 834845: Find an equation of the circle that satisfies the stated conditions. (Give your answer in standard notation.)
\n" ); document.write( "Endpoints of a diameter A(−8, 5) and B(6, 9)
\n" ); document.write( "

Algebra.Com's Answer #503202 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
Find an equation of the circle that satisfies the stated conditions. (Give your answer in standard notation.)
\n" ); document.write( "Endpoints of a diameter A(−8, 5) and B(6, 9)
\n" ); document.write( "-----------
\n" ); document.write( "Find the center, (x,y)::
\n" ); document.write( "x = (-8+6)/2 = -1
\n" ); document.write( "y = (5+9)/2 = 7
\n" ); document.write( "(x,y) = (-1,7)
\n" ); document.write( "-------
\n" ); document.write( "Find the radius, r ::
\n" ); document.write( "Find the distance from (6,9) to (-1,7)
\n" ); document.write( "r = sqrt[(9-7)^2+(6--1)^2] = sqrt[4+49] = sqrt(53)
\n" ); document.write( "--------
\n" ); document.write( "Equation:
\n" ); document.write( "(x+1)^2 + (y-7)^2 = 53
\n" ); document.write( "================================
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
\n" ); document.write( "========================
\n" ); document.write( "
\n" ); document.write( "
\n" );