Central and Inscribed Angles Review

Front

What is a central angle?

Back

A central angle is an angle whose vertex is at the center of a circle and whose sides are radii that intersect the circle.

Front

What is an inscribed angle?

Back

An inscribed angle is an angle formed by two chords in a circle which have a common endpoint. The vertex of the angle is on the circle.

Front

How do you calculate the measure of a central angle?

Back

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

Front

How do you calculate the measure of an inscribed angle?

Back

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

Front

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

Back

The measure of angle ACB is 40 degrees.

Front

What is the relationship between central angles and inscribed angles that intercept the same arc?

Back

The central angle is twice the measure of the inscribed angle.

Front

If two inscribed angles intercept the same arc, what can be said about their measures?

Back

The measures of the two inscribed angles are equal.

Front

What is the formula for finding the measure of an arc?

Back

The measure of an arc can be found using the formula: Arc Measure = Central Angle Measure.

Front

If the central angle measures 60 degrees, what is the measure of the arc it intercepts?

Back

The measure of the arc is also 60 degrees.

Front

What is the measure of a semicircle?

Back

The measure of a semicircle is 180 degrees.