Central 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 the measure of a full circle in degrees?

Back

360 degrees.

Front

What is the measure of a minor arc?

Back

An arc that measures less than 180 degrees.

Front

What is the measure of a major arc?

Back

An arc that measures greater than 180 degrees.

Front

How do you calculate the measure of an arc?

Back

The measure of an arc is equal to the measure of its central angle.

Front

What is an example of a minor arc?

Back

Arc AXB, if the measure of angle AOB is less than 180 degrees.

Front

What is an example of a major arc?

Back

Arc AYB, if the measure of angle AOB is greater than 180 degrees.

Front

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

Back

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

Front

What is the difference between a minor arc and a major arc?

Back

A minor arc measures less than 180 degrees, while a major arc measures more than 180 degrees.

Front

What is a semicircle?

Back

An arc that measures exactly 180 degrees.