document.write( "Question 589283: given the endpoints of the diameter of the circle are (-8,4) and (-4,8). write the equation of the circle \n" ); document.write( "
Algebra.Com's Answer #374834 by lwsshak3(11628)![]() ![]() ![]() You can put this solution on YOUR website! given the endpoints of the diameter of the circle are (-8,4) and (-4,8). write the equation of the circle \n" ); document.write( "** \n" ); document.write( "Standard form of equation for circle: (x-h)^2+(y-k)^2=r^2, (h,k) being the (x,y) coordinates of the center, r=radius. \n" ); document.write( "use midpoint formula to find center: \n" ); document.write( "(x1+x2)/2, (y1+y2)/2 \n" ); document.write( "(-8-4)/2/(4+8)/2=(-6,6) \n" ); document.write( "center: (-6,6) \n" ); document.write( "use distance formula to find diameter: \n" ); document.write( "d^2=(x1-x2)^2+(y1-y2)^2 \n" ); document.write( "d^2=(-8+4)^2+(4-8)^2 \n" ); document.write( "d^2=16+16=32 \n" ); document.write( "d=√32 \n" ); document.write( "radius=√32/2 \n" ); document.write( "r^2=32/4=8 \n" ); document.write( "Equation of given circle: \n" ); document.write( "(x+6)^2+(y-6)^2=8 \n" ); document.write( " |