Arcs & Inscribed Angles

Front

What is an arc in a circle?

Back

An arc is a portion of the circumference of a circle, defined by two endpoints on the circle.

Front

What is the measure of an arc?

Back

The measure of an arc is the degree measure of the angle formed at the center of the circle by the two radii that connect the center to the endpoints of the arc.

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 inscribed angle related to the arc it intercepts?

Back

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

Front

If the measure of arc AB is 68°, what is the measure of the inscribed angle ACB?

Back

The measure of angle ACB is 34°.

Front

What is the relationship between the central angle and the arc it subtends?

Back

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

Front

If the measure of arc WYZ is 231°, what is the measure of the central angle WOZ?

Back

The measure of angle WOZ is 231°.

Front

What is the formula to find the measure of an arc given the inscribed angle?

Back

The measure of the arc = 2 × (measure of the inscribed angle).

Front

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

Back

The measure of angle AOC is 210°.

Front

What is the measure of arc JH if the inscribed angle JKH measures 65°?

Back

The measure of arc JH is 130°.