Question #N465

A circle with center O has a radius of 5. Point P is on the circle, and line segment OP is a diameter of the circle. Point Q is on the circle such that \angle POQ = 60 degrees. What is the length of line segment PQ?
A. 2.5
B. 5
C. 5\sqrt{3}
D. 10

Correct Answer is: B

Triangle POQ is an equilateral triangle because all three sides are radii of the circle, and \angle POQ = 60 degrees. Therefore, line segment PQ has a length of 5.