Central Arcs and Arc Lengths

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

• 150°

• 100°

• 210°

• 105°

What is the measure of arc WXZ?

• 231

• 255

• 168

• 200

Find the red minor arc and its measure. Then find the blue major arc and its measure.

• AB, 135; ADB, 225

• ADB, 225; AB, 135

This type of arc always measures more than 180 degrees.

• major arc

• minor arc

• intercepted arc

• Noah's Ark

FIND THE ARC LENGTH OF THE BOLDED ARC

• A

• B

• C

• D

What is the arc length of minor arc AB?

• 5.23

• 103

• 33.33

• 50

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

• 7/4π

• 7/2π

• 1/8π

• 45π

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

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.