
Central Angles and Arc Lengths
Authored by Anthony Clark
Mathematics
9th Grade
CCSS covered

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12 questions
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1.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
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.
Tags
CCSS.HSG.C.B.5
2.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Find the arc length. Leave your answer in terms of π.
7/4π
7/2π
1/8π
45π
Tags
CCSS.HSG.C.B.5
3.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
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
Tags
CCSS.HSG.C.B.5
4.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
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
Tags
CCSS.HSG.C.B.5
5.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Tags
CCSS.HSG.C.B.5
6.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
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
Tags
CCSS.HSG.C.B.5
7.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Find the arc length of arc AB.
12.57 units
75.40 units
24 units
125.66 units
Tags
CCSS.HSG.C.B.5
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