Question #N720

In the $xy$-plane, a circle has center $(3,2)$ and a radius of 5. Which of the following points lies on the circle?
A. (3,7)
B. (8,2)
C. (3,-3)
D. (0,2)

Correct Answer is: B

The distance from the center of the circle to any point on the circle is equal to the radius of the circle. The distance between the points $(3,2)$ and $(8,2)$ is $8 - 3 = 5$, so the point $(8,2)$ lies on the circle.