SOLUTION: Write the standard form of the equation of the circle with the given characteristics. Endpoints of a diameter: (0, 0), (6, 8)

Algebra ->  Circles -> SOLUTION: Write the standard form of the equation of the circle with the given characteristics. Endpoints of a diameter: (0, 0), (6, 8)      Log On


   



Question 1047416: Write the standard form of the equation of the circle with the given characteristics.
Endpoints of a diameter: (0, 0), (6, 8)

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
Midpoint Pt(x,y): ( %28x%5B1%5D+%2B+x%5B2%5D%29%2F2, %28y%5B1%5D+%2B+y%5B2%5D%29%2F2++%29)
Endpoints of a diameter:
(0, 0),
(6, 8) C( 3, 4)
(x-3)^2 + (y-4)^2 = r^2
Substitute (0.0) which is on this circle
9 + 16 = 25 = r^2, r = 5
the standard form of the equation of the circle
%28x-3%29%5E2+%2B+%28y-4%29%5E2+=+25+