Inscribed and Central Angles

Front

What is an inscribed angle?

Back

An angle with its vertex on the circle.

Front

How is the measure of an arc related to its corresponding inscribed angle?

Back

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

Tags

CCSS.HSG.C.A.2

Front

How is the measure of an arc related to its corresponding central angle?

Back

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

Tags

CCSS.4.MD.C.5B

CCSS.HSG.CO.A.1

Front

What is the measure of angle EDF if it corresponds to an arc of 120 degrees?

Back

60 degrees.

Tags

CCSS.HSG.SRT.C.8

Front

What is the measure of an arc if it is given as 124 degrees?

Back

The measure of the corresponding central angle is also 124 degrees.

Front

What is the definition of a central angle?

Back

An angle whose vertex is at the center of the circle and whose sides are radii.

Tags

CCSS.HSG.C.A.2

Front

What is the relationship between inscribed angles that subtend the same arc?

Back

Inscribed angles that subtend the same arc are equal.

Tags

CCSS.HSG.C.A.2

Front

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

Back

The central angle is twice the inscribed angle.

Tags

CCSS.HSG.C.A.2

Front

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

Back

The measure of the arc is 60 degrees.

Tags

CCSS.HSG.C.A.2

Front

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

Back

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

Tags

CCSS.HSG.C.A.2