Central and Inscribed Angles Practice

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 are radii that intersect 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

If the measure of arc AB is 90 degrees, what is the measure of the central angle AOB?

Back

The measure of the central angle AOB is 90 degrees.

Front

If the measure of arc CD is 180 degrees, what is the measure of the inscribed angle CED?

Back

The measure of the inscribed angle CED is 90 degrees.

Front

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

Back

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

Front

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

Back

The inscribed angle's measure is half the measure of its intercepted arc.

Front

If an inscribed angle measures 22 degrees, what is the measure of the intercepted arc?

Back

The measure of the intercepted arc is 44 degrees.

Front

If the measure of arc EF is 38 degrees, what is the measure of the inscribed angle EGF?

Back

The measure of the inscribed angle EGF is 19 degrees.