Central Angles and Arc Length

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

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

When she is outdoors, Tasha, the dog, is tied to a stake in the center of a circular area of radius 24 feet. The angle between her dog house and her favorite hydrant is 165 degrees.  What is the length of the arc from her dog house to the hydrant, following minor arc DG, to the nearest foot.

• 40

• 35

• 55

• 69

When she is outdoors, Tasha, the dog, is tied to a stake in the center of a circular area of radius 24 feet. The angle between her dog house and her favorite hydrant is 165 degrees.  What is the length of the arc from her dog house to the hydrant, following minor arc DG, to the nearest foot.

• 40

• 35

• 55

• 69

Find the arc length of the bolded arc. Give your answer in terms of π.

• (65/12)π cm

• 17.02 cm

• (845/24)π cm

• 26π cm

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

• 7/4π

• 7/2π

• 1/8π

• 45π