Practice with Central and Inscribed Angles

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 extend to the circumference.

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 arc length it intercepts divided by the radius of the circle.

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

How do you calculate the measure of an inscribed angle?

Back

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

Front

What is the relationship between an inscribed angle and a central angle that intercept the same arc?

Back

The inscribed angle is half the measure of the central angle that intercepts the same arc.

Front

If the measure of an arc is 80 degrees, what is the measure of the inscribed angle that intercepts it?

Back

The measure of the inscribed angle is 40 degrees.

Front

What is the formula for finding the arc length of a circle?

Back

Arc length = (central angle in radians) × (radius).

Front

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

Back

Two inscribed angles that intercept the same arc are congruent.

Front

If a central angle measures 120 degrees, what is the measure of the intercepted arc?

Back

The measure of the intercepted arc is also 120 degrees.