Central and Inscribed Angles Review

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 calculate 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 calculate 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 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

What is the formula for finding the measure of an arc?

Back

The measure of an arc can be found using the formula: Arc Measure = Central Angle Measure.

Tags

CCSS.HSG.C.B.5

Front

If angle A is a central angle measuring 60 degrees, what is the measure of arc BC?

Back

The measure of arc BC is 60 degrees.

Tags

CCSS.HSG.C.B.5

Front

What is the measure of an inscribed angle if the intercepted arc measures 100 degrees?

Back

The measure of the inscribed angle is 50 degrees.

Tags

CCSS.HSG.C.A.2

Front

Define a semicircle in terms of angles and arcs.

Back

A semicircle is an arc that measures 180 degrees, and the inscribed angle that intercepts a semicircle is a right angle (90 degrees).