AnswersGCS 2023-2024 Math 3 Credit RecoverySpecial Segments

Circumference and Arc Length Answers

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1
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Consider circle T with radius 24 in. and θ = radians.

Question illustration
A
20π in.
B
28π in.
C
40π in.
D
63π in.
2
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In circle M, diameters JL and HK each measure 16 centimeters.

Question illustration
A
3.5 cm
B
6.9 cm
C
21.6 cm
D
46.8 cm
3

Circle O has a circumference of approximately 44 in.

Question illustration
A
7 in.
B
14 in.
C
22 in.
D
44 in.
4

An arc on a circle measures 125°. The measure of the central angle, in radians, is within which range?

A
0 to radians
Option A
B
to π radians
Option B
C
π to radians
Option C
D
to 2π radians
Option D
5

In the diagram below, Θ is measured in radians. Which equation represents the relationship between the radius, r, and arc length, s?

Question illustration
A
s = Θ · r
B
r = Θ · s
C
s = Θ + r
D
r = Θ + s
6

Two similar circles are shown. The circumference of the larger circle, with radius OB, is 3 times the circumference of the smaller circle, with radius OA.

Question illustration
A
x units
Option A
B
x units
Option B
C
2πx units
D
6πx units
7

Circle Q has a circumference of approximately 50 centimeters.

Question illustration
A
4.0 centimeters
B
8.0 centimeters
C
15.9 centimeters
D
31.8 centimeters
8

Circle O has a circumference of approximately 250π ft.

Question illustration
A
40 ft
B
80 ft
C
125 ft
D
250 ft
9

Minor arc KL measures 135°.

Question illustration
A
radians
Option A
B
radians
Option B
C
radians
Option C
D
radians
Option D
10

Arc CD is of the circumference of a circle. What is the radian measure of the central angle?

Question illustration
A
radians
Option A
B
radians
Option B
C
radians
Option C
D
radians
Option D

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