![\"\"](\"/images/stars/stars-13.gif\")
You can put this solution on YOUR website!
I am trying to write a general conic form equation of a circle usng this information given in the problem:
\n" ); document.write( "Ends of diameter: (2,0) and (-18,8)
\n" ); document.write( "**
\n" ); document.write( "The procedure used to solve this problem: Find coordinates of midpoint of diameter which are the coordinates of the center. Then use coordinates of one of the given points to find the radius.
\n" ); document.write( "..
\n" ); document.write( "Standard form of equation for a circle: (x-h)+(y-k)^2=r^2, (h,k)=(x,y) coordinates of center, r=radius
\n" ); document.write( "midpoint of diameter:
\n" ); document.write( "(-18+2)/2, (8+2)/2=-16/2,8/2=(-8,4)
\n" ); document.write( "center: (-8,4)
\n" ); document.write( "plug in coordinates of center (-8,4) and given point (2,0), and solve for r.
\n" ); document.write( "(2+8)^2+(0-4)^2=r^2
\n" ); document.write( "(10)^2+(-4)^2=r^2
\n" ); document.write( "100+16=r^2
\n" ); document.write( "r^2=116
\n" ); document.write( "r≈√116≈10.77
\n" ); document.write( "Equation of given circle:
\n" ); document.write( "(x+8)^2+(y-4)^2=116\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "