Flashcard on Arcs, Inscribed and Central Angles

Front

What is the measure of an inscribed angle in relation to the intercepted arc?

Back

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

Front

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

Back

150°

Front

Define 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 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.

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 that it intercepts.

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

Determine if the angle is a central angle, inscribed angle or neither: angle ACB.

Back

Central angle.

Front

If m∠PRQ = 51°, what is the measure of the intercepted arc?

Back

102° (since the inscribed angle is half the intercepted arc).

Front

What is the formula to 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

If the measure of arc DEF is 120°, what is the measure of the inscribed angle that intercepts arc DEF?

Back

60°.