Central & Inscribed angles

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

What is a minor arc?

Back

An arc that measures less than 180 degrees.

Front

What is a major arc?

Back

An arc that measures greater than 180 degrees.

Front

How do you name a minor arc?

Back

By using the two endpoints of the arc, e.g., arc AB.

Front

How do you name a major arc?

Back

By using the two endpoints and a point on the arc, e.g., arc ADB.

Front

What is the relationship between a central angle and the arc it intercepts?

Back

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

Front

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

Back

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

Front

If a central angle measures 60 degrees, what is the measure of the corresponding arc?

Back

60 degrees.

Front

If an inscribed angle measures 30 degrees, what is the measure of the corresponding arc?

Back

60 degrees.