Central and Inscribed Angles

Front

What is a central angle?

Back

An angle whose vertex is at the center of a circle and whose sides intersect the circle.

Tags

CCSS.HSG.C.A.2

Front

What is an inscribed angle?

Back

An angle formed by two chords in a circle which have a common endpoint.

Tags

CCSS.4.G.A.1

Front

How is the measure of a central angle related to the arc it intercepts?

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 is the measure of an inscribed angle related to the arc it intercepts?

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 major arc?

Back

An arc that measures greater than 180 degrees.

Tags

CCSS.HSG.C.B.5

Front

What is a minor arc?

Back

An arc that measures less than 180 degrees.

Front

If the measure of arc AB is 180 degrees, what type of arc is it?

Back

It is a semicircle.

Tags

CCSS.HSG.C.B.5

Front

If the measure of a central angle is 120 degrees, what is the measure of the intercepted arc?

Back

120 degrees.

Front

If the measure of an inscribed angle is 50 degrees, what is the measure of the intercepted arc?

Back

100 degrees.

Tags

CCSS.HSG.C.A.2

Front

What is the relationship between the measures of two inscribed angles that intercept the same arc?

Back

They are equal.

Tags

CCSS.HSG.C.A.2