Geometry

Question Analysis

This question focuses on identifying the major arc and its measure in a circle, testing the understanding of major arcs and the relationship between central angles and arc measures.

Key Concept Explanation

Major Arc: An arc that is greater than a semi - circle. Its measure is calculated as  minus the measure of the central angle that subtends the corresponding minor arc.

Central Angle: An angle with its vertex at the center of the circle.

Step - by - Step Solution

1. The central angle .

2. The minor arc is . The major arc will be the arc that is greater than a semi - circle.

3. Calculate the measure of the major arc: