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.

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

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

Back

The measure of angle ACB is 40 degrees.

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 angle AOB is a central angle measuring 60 degrees, what is the measure of arc AB?

Back

The measure of arc AB is also 60 degrees.

Front

What is the formula for the measure of an arc?

Back

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

Tags

CCSS.HSG.C.B.5

Front

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

Back

The measure of angle EFD is 60 degrees.

Tags

CCSS.HSG.C.A.2

Front

What is the sum of the measures of the angles in a triangle?

Back

The sum of the measures of the angles in a triangle is always 180 degrees.

Tags

CCSS.8.G.A.5