Question

question 4 of 10 given ⊙o below, is (widehat{efg}) a minor arc, a major arc, or a semicircle? a. minor arc b. semicircle c. major arc

Explanation:

Step1: Recall arc - type definitions

A minor arc has a central - angle measure less than 180°. A semicircle has a central - angle measure of 180°. A major arc has a central - angle measure greater than 180°.

Step2: Determine the central - angle measure of arc EFG

The central angle corresponding to arc EFG is \(360^{\circ}-150^{\circ}=210^{\circ}\).

Step3: Classify the arc

Since \(210^{\circ}>180^{\circ}\), arc EFG is a major arc.

Answer:

C. Major arc