The quickest way to the circle equation from 3 points on its circumference

Turning the general circle equation into the standard equation by completing the square. From 3 circumference points to the circle equation in < 2 mins. The 3 points can be translated by the negative of the position vector of any one of the points to make the circumference pass through the origin, thereby enabling the general equation, x^2 + y^2 = 2xh + 2yk, to be used on the other two points to reveal the centre coordinates, (h, k), of the shifted circle. Pythagoras’ rule on the centre coordinates will reveal the radius and these centre coordinates should be translated back by the original position vector to reveal the centre of the original circle.