Inscribed and Central Angles

Front

What is the relationship between the measure of an arc and its corresponding central angle in a circle?

Back

The measure of an arc is equal to the measure of its corresponding central angle.

Front

What is the measure of angle EDF if it is given as 60 degrees?

Back

60 degrees.

Front

Define an inscribed angle in a circle.

Back

An inscribed angle is an angle with its vertex on the circle.

Front

What is the measure of an arc in a circle (or congruent circles) in relation to its corresponding inscribed angle?

Back

The measure of an arc is equal to twice the measure of its corresponding inscribed angle.

Front

What is a central angle in a circle?

Back

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

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 inscribed angles that intercept the same arc?

Back

Inscribed angles that intercept the same arc are equal.

Front

What is the measure of an arc that subtends a central angle of 90 degrees?

Back

The measure of the arc is 90 degrees.

Front

If an inscribed angle measures 30 degrees, what is the measure of the intercepted arc?

Back

The measure of the intercepted arc is 60 degrees.

Front

What is the formula for finding the measure of a central angle in a circle?

Back

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