Practice Test

Question 15 • Mathematics II

Which circle shows overarc AB that measures 60 degrees ?

Answer

Image with description Circle with center O has points A and B on the circle and another unlabeled point on the left side of the circle. Segments from the unlabeled point to A and B form an angle labeled 60 degrees.

Image with description Circle with center O has points A and B on the circle. Segment A B is drawn. A tangent line touches the circle at A, and the angle between the tangent line and segment A B is labeled 60 degrees.

Image with description Circle with center O has points A and B on the circle. Segments O A and O B are drawn, forming a central angle labeled 60 degrees.

Image with description Circle with center O has points A, B, and Y on the circle. Segment B Y passes through O, and segment A Y is drawn. The angle at Y between segments Y A and Y B is labeled 60 degrees.

Explanation

A central angle has the same measure as the arc it intercepts. In choice C, the central angle formed by radii OA and OB is 60°, so arc AB measures 60°. In choices A, B, and D, the shown 60° angle is not a central angle; those angle measures do not equal the intercepted arc measure.

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