Central and Inscribed Angles Flashcard

Front

What is a central angle?

Back

An angle whose vertex is at the center of a circle and whose sides intersect the circle.

Front

What is an inscribed angle?

Back

An angle formed by two chords in a circle which have a common endpoint.

Front

How do you calculate 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 calculate the measure of an inscribed angle?

Back

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

Front

What is a minor arc?

Back

An arc that is smaller than a semicircle.

Front

What is a major arc?

Back

An arc that is larger than a semicircle.

Front

What is a semicircle?

Back

An arc that measures exactly 180 degrees.

Front

If the measure of arc AB is 100°, what is the measure of the inscribed angle that intercepts arc AB?

Back

50°.

Front

If the measure of arc CD is 240°, what is the measure of the central angle that intercepts arc CD?

Back

240°.

Front

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

Back

They are equal.