### Concept (1)

A central angle is an angle whose vertex is on the center of the circle and whose endpoints are on the circle. The endpoints on the circle are also the endpoints for the angle's intercepted arc. The angle measure of the central angle is congruent to the measure of the intercepted arc which is an important fact when finding missing arcs or central angles.

### Sample Problems (4)

Need help with "Central Angles and Intercepted Arcs" problems? Watch expert teachers solve similar problems to develop your skills.

###### Problem 1
How to find arc measures, given the measure of its central angle measure, or find central angle measures, given congruent chords.
###### Problem 2
How to find the arc and angle measure when a diameter is given, as well as a radius and a chord drawn between the two.
###### Problem 3
How to find the measure of an intercepted arc given the measure of two arcs.
###### Problem 4
How to find the measure of an arc created by the vertices of an inscribed regular polygon.