Equation of Circle Passing through 3 points

Your instructions are to find the equation of the circle passing through the points (0,0), (2,2), and (6,4).

The hint given in class is to use the fact that the perpendicular bisector of any chord of a circle passes through the center.

[  (x-h)^2 + (y-k)^2 = r^2  ] You will also need the equation of a circle in standard form.

In simpler steps ...