Central and Inscribed Angles

Front

Central angle: an angle with its vertex _____________ the circle

Back

at the center of

Front

Inscribed angle: an angle with its vertex _____________ the circle

Back

on

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

What is the relationship between an inscribed angle and its intercepted arc?

Back

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

Front

If the measure of a central angle is 140°, what is the measure of the intercepted arc?

Back

140°

Front

If an inscribed angle intercepts an arc measuring 80°, what is the measure of the inscribed angle?

Back

40°

Front

What is the measure of an inscribed angle that intercepts an arc measuring 100°?

Back

50°

Front

Find the measure of the missing arc if the central angle is 98°.

Back

98°

Front

If an inscribed angle measures 35°, what is the measure of the arc it intercepts?

Back

70°

Front

Which number best represents a central angle? (1, 2, 8, 9)

Back

2