Find the equation of the circle whose endpoints of the diameter are (5, 8) and (8, 10).

Answer 1

The equation of a circle is (x-h)^2 + (y-k)^2 = r^2, where (h,k) is the center of the circle and r is the radius.

The radius will be half the length of the diameter. Compute distance between (5,8) and (8,10) and divide by 2.

The center of the circle will be the midpoint between the endpoints of the diameters. Compute the midpoint between (5,8) and (8,10)