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 circle's circumference.

Tags

CCSS.HSG.C.A.2

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.

Tags

CCSS.4.MD.C.5B

CCSS.HSG.CO.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 minor arc?

Back

A minor arc is an arc that measures less than 180 degrees.

Tags

CCSS.HSG.C.B.5

Front

What is a major arc?

Back

A major arc is an arc that measures more than 180 degrees.

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.

Tags

CCSS.HSG.C.B.5

Front

What is the relationship between an inscribed angle and its intercepted arc?

Back

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

Tags

CCSS.HSG.C.A.2

Front

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

Back

The measure of the inscribed angle is 40 degrees.

Tags

CCSS.HSG.C.A.2

Front

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

Back

The measure of the arc is also 60 degrees.