Central angles, Inscribed angles, and Arcs-4/4/24

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 is the measure of an arc related to its corresponding inscribed angle?

Back

The measure of an arc is equal to twice the measure of its corresponding inscribed angle.

Front

If the measure of arc ABC is 210°, what is the measure of ∠AOC?

Back

150°

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 ∠AOC is a central angle, how do you find the measure of arc AC?

Back

The measure of arc AC is equal to the measure of the central angle ∠AOC.

Front

What is the relationship between the inscribed angle and the arc it intercepts?

Back

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

Front

If the measure of an inscribed angle is 30°, what is the measure of the intercepted arc?

Back

The measure of the intercepted arc is 60°.