# Central and Inscribed Angles Theorem Explained

**The Central and Inscribed Angles Theorem**

The central and inscribed angle theorem is used to solve angles and arc measure in a circle. It shows the relationship of the measures of an inscribed angle, central angle, and their intercepted arc.

According to the theorem:

- Central angle measure = measure of inscribed angle
- Inscribed angle measure = 1/2(measure of inscribed angle)

Therefore, the central and inscribed angle theorem provides a way to determine angles and arc measures within a circle.