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Solution to QOTD 4/24/2020

To find the solution to this, we need to use our the equation of a circle, and the distance formula.

Equation of a circle
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:

This is the radius of the circle.

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.