Inscribed and Central Angles Practice

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, and the sides of the angle are the chords.

Front

What is a central angle?

Back

A central angle is an angle whose vertex is at the center of the circle and whose sides are radii that extend to the circle.

Front

How do you find the measure of an inscribed angle?

Back

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

Front

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

Back

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

Front

What is a minor arc?

Back

A minor arc is an arc that is smaller than a semicircle, measuring less than 180°.

Front

What is a major arc?

Back

A major arc is an arc that is larger than a semicircle, measuring more than 180°.

Front

What is a semicircle?

Back

A semicircle is an arc that measures exactly 180°.

Front

If AD is a diameter, what is the measure of angle AFB?

Back

The measure of angle AFB is 90° because it is an inscribed angle that intercepts a semicircle.

Front

What is the measure of arc JK if the inscribed angle JKL measures 42°?

Back

The measure of arc JK is 84° because it is twice the measure of the inscribed angle.

Front

If the measure of arc KJH is 265°, what is the measure of the central angle KJH?

Back

The measure of the central angle KJH is also 265°.