#### Central and Inscribed Angles

**A central angle** of a circle is an angle whose vertex is located at the center of the circle

Example: **∠AOB**

**An inscribed angle** is an angle whose vertex is on a circle and whose sides each intersect the circle at another point

Example: **∠ACB**

The measure of the central angle is double the measure of the inscribed angle intercepting the same arc

**m∠AOB = 2 × m∠ACB**

Two or more inscribed angles intercepting the same arc are equal

**m∠ACB = m∠ADB = m∠AEB **

Any inscribed angle whose endpoints are a diameter is a right angle, or 90°

**m∠ACB = 90°**