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 are radii that 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 a major arc?

Back

A major arc is an arc that measures greater than 180 degrees.

Tags

CCSS.HSG.C.B.5

Front

What is a minor arc?

Back

A minor arc is an arc that measures less than 180 degrees.

Tags

CCSS.HSG.C.B.5

Front

What is the relationship between the measures of arcs and angles in a circle?

Back

The measure of a central angle is equal to the measure of the arc it intercepts, while 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 measure of a semicircle?

Back

The measure of a semicircle is 180 degrees.

Tags

CCSS.4.MD.C.5B

CCSS.HSG.CO.A.1

Front

If the measure of arc AB is 100 degrees, what is the measure of the inscribed angle that intercepts arc AB?

Back

The measure of the inscribed angle is 50 degrees.

Tags

CCSS.HSG.C.A.2

Front

What is the formula for finding the measure of an arc in a circle?

Back

The measure of an arc can be found using the formula: Arc Measure = Central Angle Measure.

Tags

CCSS.HSG.C.B.5