which figure shows a central angle?

which figure shows a central angle?

which figure shows a central angle?

Answer

Explanation:

Step1: Recall central - angle definition

A central angle of a circle is an angle whose vertex is at the center of the circle and whose sides are radii of the circle.

Step2: Analyze each figure

In the first figure, the vertex of the angle is at the center of the circle and the two sides are radii. In the second figure, the vertex is on the circle (it is an inscribed - angle). In the third figure, it is an arc, not an angle. In the fourth figure, there is no angle shown.

Answer:

The first figure shows a central angle.