Central and Inscribed Angles

Front

What is a central angle?

Back

An angle whose vertex is at the center of a circle and whose sides intersect the circle.

Tags

CCSS.HSG.C.A.2

Front

What is an inscribed angle?

Back

An angle formed by two chords in a circle which have a common endpoint.

Tags

CCSS.4.G.A.1

Front

How do you find the measure of a central angle?

Back

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

Tags

CCSS.HSG.C.A.2

Front

How do you find the measure of an inscribed angle?

Back

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

Tags

CCSS.HSG.C.A.2

Front

What is a major arc?

Back

An arc that measures greater than 180 degrees.

Tags

CCSS.HSG.C.B.5

Front

What is a minor arc?

Back

An arc that measures less than 180 degrees.

Front

What is a semicircle?

Back

An arc that measures exactly 180 degrees.

Front

If the measure of arc AB is 120 degrees, what is the measure of the inscribed angle that intercepts arc AB?

Back

60 degrees.

Tags

CCSS.HSG.C.A.2

Front

If the measure of a central angle is 80 degrees, what is the measure of the arc it intercepts?

Back

80 degrees.

Tags

CCSS.HSG.C.A.2

Front

What is the relationship between the measures of a central angle and its corresponding inscribed angle?

Back

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

Tags

CCSS.HSG.C.A.2