To find the solution to this, we need to use our the equation of a circle, and the distance formula.
To begin, we are given two points, the center and a point on the circle, so we can find the length of the radius using the distance formula:
Now that we know the measure of the radius, we insert it and the coordinates of the center into the equation of a circle and find our solution. The equation tells us to take the opposite of the center coordinates, and to square the radius. Thus we get:
The solution is D.