Inscribed and Central Angles

Front

In a circle, the measure of an arc is:

Back

equal to twice the measure of its corresponding inscribed angle.

Tags

CCSS.HSG.C.A.2

Front

What is the measure of an inscribed angle?

Back

The measure of an inscribed angle is half the measure of its intercepted arc.

Tags

CCSS.HSG.C.A.2

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.

Tags

CCSS.HSG.C.A.2

Front

What is the relationship between a central angle and its intercepted arc?

Back

The measure of a central angle is equal to the measure of its intercepted arc.

Tags

CCSS.HSG.C.B.5

Front

What is the vertex of an inscribed angle?

Back

The vertex of an inscribed angle is located on the circle.

Front

If the measure of arc XW is 106 degrees, what is the measure of the inscribed angle that intercepts arc XW?

Back

The measure of the inscribed angle is 53 degrees.

Tags

CCSS.HSG.C.A.2

Front

What is the measure of a full circle in degrees?

Back

360 degrees.

Tags

CCSS.HSG.CO.A.1

CCSS.4.MD.C.5B

Front

If an inscribed angle measures 31 degrees, what is the measure of the arc it intercepts?

Back

The measure of the arc is 62 degrees.

Tags

CCSS.HSG.C.A.2

Front

What is the formula to find the measure of an inscribed angle?

Back

Measure of inscribed angle = 1/2 * measure of intercepted arc.

Tags

CCSS.HSG.C.A.2

Front

What is the formula to find the measure of a central angle?

Back

Measure of central angle = measure of intercepted arc.

Tags

CCSS.HSG.C.A.2