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 intersect the circle.

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

Back

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

Tags

CCSS.HSG.C.A.2

Front

If the measure of arc AB is 68 degrees, what is the measure of the inscribed angle that intercepts arc AB?

Back

34 degrees.

Tags

CCSS.HSG.C.A.2

Front

What is the measure of an arc if the central angle is 140 degrees?

Back

The measure of the arc is also 140 degrees.

Front

If angle V measures 80 degrees, what is the measure of the arc it intercepts?

Back

160 degrees.

Tags

CCSS.HSG.C.A.2

Front

What is the formula to find the measure of an arc given the central angle?

Back

Arc measure = Central angle measure.

Front

If the measure of arc FH is 140 degrees, what is the measure of the central angle that intercepts it?

Back

140 degrees.

Tags

CCSS.HSG.C.A.2