Inscribed and Central Angles

Front

What is a central angle?

Back

An angle with its vertex at the center of the circle.

Front

What is an inscribed angle?

Back

An angle with its vertex on the circle.

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 represents half of a circle.

Front

How do you calculate the area of a sector?

Back

Area = (θ/360) * πr², where θ is the central angle in 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 relationship between an inscribed angle and its intercepted arc?

Back

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

Front

If the measure of a central angle is 80°, what is the measure of the intercepted arc?

Back

80°.

Front

If an inscribed angle intercepts an arc of 160°, what is the measure of the inscribed angle?

Back

80°.