AnswersCR CCSS Math 2 S2 M2960OXParallelograms

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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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
3

An arc on a circle measures 85°. 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 π radians
Option D
4

In each circle below, a 50° angle with a vertex at the center of the circle is drawn. How are minor arc lengths CD and EF related?

Question illustration
A
They are the same because the central angle measure is the same.
B
The arc lengths are proportional: .
Option B
C
The arc lengths are proportional: .
Option C
D
The arc lengths are proportional: .
Option D
5

Circle O has a circumference of approximately 44 in.

Question illustration
A
7 in.
B
14 in.
C
22 in.
D
44 in.
6

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
7

Circle P has a circumference of approximately 75 inches.

Question illustration
A
12 inches
B
24 inches
C
38 inches
D
46 inches
8

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
9

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
10

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
11

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
12

In each circle below, a 50° angle with a vertex at the center of the circle is drawn. How are minor arc lengths CD and EF related?

Question illustration
A
They are the same because the central angle measure is the same.
B
The arc lengths are proportional: .
Option B
C
The arc lengths are proportional: .
Option C
D
The arc lengths are proportional: .
Option D
13

An arc on a circle measures 85°. 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 π radians
Option D
14

Circle O has a circumference of approximately 44 in.

Question illustration
A
7 in.
B
14 in.
C
22 in.
D
44 in.
15

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
16

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
17

Circle O has a circumference of approximately 250π ft.

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

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