AnswersCR CCSS Math 2 S2 M2960OXCircumference and Arc Length

Circumference and Arc Length Answers

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21
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An arc on a circle measures 295°. 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
22
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Two circles are shown in the diagram.Since all circles are similar, a proportion can be set up using the circumference and diameter of each circle. Substitute the values d1 = 1, C1 = π, and d2 = 2r into the proportion.Which shows how to correctly solve for C2, the circumference of any circle with radius r?

Question illustration
A
Because
Option A
B
Because
Option B
C
Because
Option C
D
Because
Option D
23

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
24

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
25

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

Question illustration
A
20π in.
B
28π in.
C
40π in.
D
63π in.
26

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
27

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
2π radians
D
4π radians

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