Inscribed and Central Angles

What is the relationship between an inscribed angle and the arc it intercepts?

• An inscribed angle is equal to the measure of the arc it intercepts.

• An inscribed angle is half the measure of the arc it intercepts.

• An inscribed angle is greater than the measure of the arc it intercepts.

• An inscribed angle is unrelated to the measure of the arc it intercepts.

Tags

CCSS.HSG.C.A.2

If an arc length is 120 degrees, what is the measure of the central angle?

• 90 degrees

• 45 degrees

• 120 degrees

• 180 degrees

Tags

CCSS.HSG.C.A.2

CCSS.HSG.C.B.5

CCSS.HSF.TF.A.1

If an inscribed angle measures 40 degrees, what is the measure of the arc it intercepts?

• 30 degrees

• 60 degrees

• 120 degrees

• 80 degrees

Tags

CCSS.HSG.C.A.2

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

• Inscribed angle measure = 2 * Central angle measure

• Inscribed angle measure = Central angle measure - 90 degrees

• Inscribed angle measure = 0.5 * Central angle measure

• Inscribed angle measure = Central angle measure

Tags

CCSS.HSG.C.A.2

An inscribed angle in a circle measures 60 degrees. What is the measure of the central angle?

• 45 degrees

• 90 degrees

• 180 degrees

• 120 degrees

Tags

CCSS.HSG.C.A.2

What is the relationship between a central angle and the arc it intercepts?

• The central angle is always less than the arc it intercepts.

• The measure of the central angle is equal to the measure of the arc it intercepts.

• The central angle and the arc it intercepts are unrelated.

• The central angle is always greater than the arc it intercepts.

Tags

CCSS.HSG.C.A.2

Tags

CCSS.HSG.C.A.2

CCSS.HSG.C.A.3

Tags

CCSS.HSG.C.A.2

• 64
• 116
• 180
• 32

Tags

CCSS.HSG.C.A.2

CCSS.HSG.C.B.5