Central and Inscribed angles

Front

What is a central angle in a circle?

Back

A central angle is an angle whose vertex is at the center of the circle and whose sides (rays) extend to the circumference.

Tags

CCSS.HSG.C.A.2

Front

What is an inscribed angle in a circle?

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.HSG.C.A.2

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 its corresponding inscribed angle?

Back

The measure of a central angle is equal to twice the measure of its corresponding inscribed angle.

Tags

CCSS.HSG.C.A.2

Front

If the measure of arc AB is 70 degrees, what is the measure of the inscribed angle that intercepts arc AB?

Back

35 degrees.

Tags

CCSS.HSG.C.A.2

Front

If the measure of a central angle is 56 degrees, what is the measure of the arc it intercepts?

Back

56 degrees.

Tags

CCSS.HSG.C.A.2

Front

What is the measure of arc AYB if the inscribed angle AOB is 130 degrees?

Back

260 degrees.

Tags

CCSS.HSG.C.A.2

Front

If an inscribed angle measures 41 degrees, what is the measure of the arc it intercepts?

Back

82 degrees.

Tags

CCSS.HSG.C.A.2

Front

What is the measure of an arc in a circle?

Back

The measure of an arc is the degree measure of the angle formed at the center of the circle by the two radii that connect the endpoints of the arc.