Practice Test

Question 16 • Mathematics II

Which circle has a central angle that measures 40 degrees ?

Answer

Image with description Circle with center U has points V and Z on the circle. Segments U V and U Z are drawn. The angle formed by segments U V and U Z at point U is labeled 40 degrees.

Image with description Circle with center U has points Z and V on the circle and point X outside the circle. A line passes through points X and Z. Segment Z V connects points Z and V. The angle formed by ray Z X and segment Z V is labeled 40 degrees.

Image with description Circle with center U has points X, V, and Z on the circle. Segments X V and X Z are drawn. The angle formed by segments X V and X Z at point X is labeled 40 degrees.

Image with description Circle with center U has points V, X, and Z on the circle. Segments X V and X Z are drawn. The angle formed by segments X V and X Z at point X is labeled 40 degrees.

Explanation

A central angle has its vertex at the center of the circle, and its sides are radii. In choice C, the 40-degree angle is at U, the circle’s center, and its sides are U V and U Z. The other angles have vertices on or outside the circle, so they are not central angles.

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