Geometry

Question Analysis

This question focuses on identifying the major arc and its measure in a circle, testing the understanding of the concepts 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. The measure of a major arc is  minus the measure of the central angle that subtends the corresponding minor arc.

Central Angle: An angle whose vertex is the center of the circle.

Step - by - Step Solution

1. The central angle .

2. The minor arc is . The major arc is .

3. To find the measure of the major arc , we use the formula: Measure of major arc

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