Point O is the center of a circle. The measure of arc RS on this circle is 100°. What is the measure, in degrees, of its associated angle ROS ?

Explanation

The correct answer is 100. It's given that point O is the center of a circle and the measure of arc RS on the circle is o 100 . It follows that points R and S lie on the circle. Therefore, OR and OS are radii of the circle. A central angle is an angle n formed by two radii of a circle, with its vertex at the center of the circle. Therefore,∠ ROS is a central angle. Because the degree measure of an arc is equal to the measure of its associated central angle, it follows that the measure, in degrees, of ∠ ROS is 100.