Answer:
An angle in a circle whose vertex is at the center of the circle is called a central angle.
Explanation:
The vertex of an angle is the point about which an angle is measured. For example in angle ABC, point B is the vertex.
If all the points on the figure are equidistant from the center, then the figure is called a circle.
An angle with endpoints located on a circle's circumference and vertex located at the circle's center is known as central angle.
Therefore the angle in a circle whose vertex is at the center of the circle is called a central angle.
In the below figure O is the center of the circle and vertex of the angle AOB an dangle AOB known as central angle.