Central and Inscribed Angles, Pt. 2

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 extend to the circumference.

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. The vertex of the angle is on the circle.

Tags

CCSS.4.MD.C.5B

CCSS.HSG.CO.A.1

Front

How do you find the measure of an inscribed angle?

Back

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

Tags

CCSS.HSG.C.A.2

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 intercepted arc.

Tags

CCSS.HSG.C.A.2

Front

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

Back

The measure of the inscribed angle is 40 degrees.

Tags

CCSS.HSG.C.A.2

Front

If angle F is an inscribed angle that intercepts an arc measuring 92 degrees, what is the measure of angle F?

Back

Angle F measures 46 degrees.

Tags

CCSS.HSG.C.A.2

Front

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

Back

The central angle measures the same as the intercepted arc.

Tags

CCSS.HSG.C.A.2

Front

If angle H is a central angle measuring 80 degrees, what is the measure of the arc it intercepts?

Back

The arc intercepted by angle H also measures 80 degrees.

Tags

CCSS.HSG.C.B.5

Front

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

Back

Inscribed angle = 1/2 * measure of intercepted arc.

Tags

CCSS.HSG.C.A.2

Front

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

Back

Central angle = measure of intercepted arc.

Tags

CCSS.HSG.C.A.2