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

Solve for the missing angle: If the central angle is 90° and the inscribed angle subtended by the same arc is x°, what is x?

Back

45°

Front

Find the measure of arc AB if the central angle is 136°. What is the measure of arc AB?

Back

136°

Front

If the inscribed angle is 22.5°, what is the measure of the central angle subtended by the same arc?

Back

45°

Front

What is the relationship between a central angle and an inscribed angle subtended by the same arc?

Back

The central angle is twice the inscribed angle.

Front

If the measure of arc CD is 68°, what is the measure of the inscribed angle subtended by arc CD?

Back

34°

Front

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

Back

2

Front

If the measure of an inscribed angle is 90°, what is the measure of the arc it subtends?

Back

180°

Front

What is the formula to find the measure of an inscribed angle?

Back

Inscribed angle = 1/2 (measure of the intercepted arc)