SOLUTION: Find the standard form of the equation of the circle that has a diameter with the given end points. (3,7), (5,-1)

Algebra ->  Circles -> SOLUTION: Find the standard form of the equation of the circle that has a diameter with the given end points. (3,7), (5,-1)      Log On


   

Question 1052359: Find the standard form of the equation of the circle that has a diameter with the given end points. (3,7), (5,-1)
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
(3,7),
(5,-1) Midpoint(4, 3) Midpoint Pt(x,y): ( %28x%5B1%5D+%2B+x%5B2%5D%29%2F2, %28y%5B1%5D+%2B+y%5B2%5D%29%2F2++%29)
D = +sqrt+%28+%28x%5B1%5D-x%5B2%5D%29%5E2%2B+%28y%5B1%5D-y%5B2%5D%29%5E2+%29+
Diameter = sqrt(4 + 64) = sqrt(68) = 2sqrt(17)
radius = sqrt(17)
circle
(x-4)^2 + (y-3)^2 = r^2
(x-4)^2 + (y-3)^2 = 17