Central Angles and Arc Length and Area

Determine the value of x.

• 80

• 120

• 160

• 200

If the measure of arc ABC = 210°, what is the measure of arc AC?

• 150°

• 100°

• 210°

• 105°

The measure of an arc is equal to the measure of the central angle that intercepts the arc. Find x.

• x = 160

• x = 40

• x = 80

• x = 360

If m stands for the measure of the central angle that intercepts the arc, then this is the formula for finding what?

• arc length

• area of a sector

• area of a segment

• arc measure

Find the arc length.
Leave your answer in terms of π.

• 7/4π

• 7/2π

• 1/8π

• 45π

Find the arc length of arc AB.

• 12.57 units

• 75.40 units

• 24 units

• 125.66 units

Lin thinks that the central angle in circle A is

congruent to the central angle in circle B. Do you

agree with Lin? Show or explain your reasoning.

• I agree. The ratios of the arc length to the radius are equivalent.

• I disagree. The ratios of the arc length to radius are not equivalent.

What is the arc length of minor arc AB?

• 5.23

• 103

• 33.33

• 50

FIND THE ARC LENGTH OF THE BOLDED ARC

• A

• B

• C

• D

Find the arc length.  Leave your answer in terms of π.

• 7/4π

• 7/2π

• 1/8π

• 45π