Central and Inscribed Angles

Front

Inscribed angle: an angle with its vertex _____________ the circle

Back

on

Front

What is the measure of arc AD if the total circle is 360° and the inscribed angle is 38°?

Back

38°

Front

What is the measure of arc AXB if the inscribed angle is 50°?

Back

100°

Front

What is m∠ACB if the measure of arc AB is 45°?

Back

22.5°

Front

What is the measure of arc AYB if the inscribed angle is 130°?

Back

260°

Front

Definition of a central angle: an angle whose vertex is _____________ the circle.

Back

at the center of

Front

The relationship between an inscribed angle and its intercepted arc: the measure of the inscribed angle is _____________ the measure of the intercepted arc.

Back

half of

Front

If the measure of arc AB is 80°, what is the measure of the inscribed angle ACB?

Back

40°

Front

If the measure of arc CD is 120°, what is the measure of the inscribed angle CED?

Back

60°

Front

What is the measure of an inscribed angle that intercepts an arc of 200°?

Back

100°