G.6.4.2 Circling the Problem

The image shows a circle with center (6, 10) and radius 17 units. The point (14, 25) looks like it might be on the circle. Verify if it really is on the circle. Explain or show your reasoning.

The point (22, 3) looks like it might be on the circle. Verify if it really is on the circle. Explain or show your reasoning.

In general, how can you check if a particular point (x, y) is on the circle?

How would you find the lengths of the legs of the triangle below?