Question

Does anyone know how to do this? Circle O, with center (x, y), passes through the points A(0, 0), B(–3, 0), and C(1, 2). Find the coordinates of the center of the circle.

Answer 1

use the distance formula

as the distance from any point on the circumference is always equal

so

OA = Ob = OC

this will give the equation or locus or the circle

you'll then need to factor it to a standard form