Central and Inscribed Angles

Front

What is a central angle?

Back

A central angle is an angle whose vertex is at the center of a circle and whose sides (rays) extend to the circumference of the circle.

Front

What is an inscribed angle?

Back

An inscribed angle is an angle formed by two chords in a circle which have a common endpoint. The vertex of the angle is on the circle.

Front

How do you find the measure of a central angle?

Back

The measure of a central angle is equal to the measure of the arc it intercepts.

Front

How do you find the measure of an inscribed angle?

Back

The measure of an inscribed angle is half the measure of the arc it intercepts.

Front

What is the relationship between a central angle and its intercepted arc?

Back

The measure of the central angle is equal to the measure of the intercepted arc.

Front

What is the relationship between an inscribed angle and its intercepted arc?

Back

The measure of the inscribed angle is half the measure of the intercepted arc.

Front

If the measure of arc AB is 80°, what is the measure of the inscribed angle ACB?

Back

The measure of angle ACB is 40°.

Front

If the measure of angle DEF is 72°, what is the measure of arc DF?

Back

The measure of arc DF is 144°.

Front

What is the measure of a central angle that intercepts an arc measuring 113°?

Back

The measure of the central angle is 113°.

Front

If angle V is an inscribed angle that intercepts an arc measuring 160°, what is the measure of angle V?

Back

The measure of angle V is 80°.