Central and Inscribed Angles

Front

What is a central angle?

Back

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

Front

What is an inscribed angle?

Back

An angle in a circle with its vertex on the circle itself.

Front

If the measure of arc FH is 140°, what is the measure of the inscribed angle that intercepts arc FH?

Back

70°.

Front

What is the relationship between a central angle and the arc it intercepts?

Back

The measure of a central angle is equal to the measure of the arc it intercepts.

Front

What is the relationship between an inscribed angle and the arc it intercepts?

Back

The measure of an inscribed angle is half the measure of the arc it intercepts.

Front

Find m∠PRQ if it intercepts an arc measuring 102°.

Back

51°.

Front

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

Back

Measure of inscribed angle = 1/2 * measure of intercepted arc.

Front

If m∠AOB is 90°, what is the measure of arc AB?

Back

90°.

Front

What is the measure of an angle formed by two chords that intersect inside a circle?

Back

The measure of the angle is equal to the average of the measures of the arcs intercepted by the angle.

Front

If two chords intersect inside a circle, how do you find the measure of the angle formed?

Back

Add the measures of the arcs intercepted by the angle and divide by 2.