WU Central Angles and Inscribed Angles

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.HSG.CO.A.1

CCSS.4.MD.C.5B

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

What is the relationship between an inscribed angle and 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

If the measure of arc AB is 142°, what is the measure of the central angle AOB?

Back

The measure of the central angle AOB is 142°.

Tags

CCSS.HSG.CO.A.1

CCSS.4.MD.C.5B

Front

If the measure of arc AYB is 260°, what is the measure of the inscribed angle AXY?

Back

The measure of the inscribed angle AXY is 130°.

Tags

CCSS.HSG.C.A.2

Front

What is the measure of arc ABC if the central angle AOC is 150°?

Back

The measure of arc ABC is 150°.

Front

If the measure of arc AC is 150° and arc ABC is 210°, what is the measure of arc AB?

Back

The measure of arc AB is 60°.

Tags

CCSS.HSG.C.B.5

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

If the measure of arc AYB is 50°, what is the measure of the inscribed angle AXY?

Back

The measure of the inscribed angle AXY is 25°.

Tags

CCSS.HSG.C.A.2