AnswersCR CCSS Math 2 S2 M2960OXSolving for Side Lengths of Right Triangles

Circumference and Arc Length Answers

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1
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Circle P has a circumference of approximately 75 inches.

Question illustration
A
12 inches
B
24 inches
C
38 inches
D
46 inches
2
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Circle O has a circumference of approximately 44 in.

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A
7 in.
B
14 in.
C
22 in.
D
44 in.
3

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

Question illustration
A
StartFraction pi over 6 EndFraction
Option A
B
StartFraction pi Over 3 EndFraction
Option B
C
StartFraction 2 pi Over 3 EndFraction
Option C
D
StartFraction 5 pi Over 6 EndFraction
Option D
4

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
5

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
6

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
7

In circle O, the length of radius OL is 6 cm and the length of arc LM is 6.3 cm. The measure of angle MON is 75°.

Question illustration
A
7.9 cm
B
10.2 cm
C
12.6 cm
D
14.2 cm
8

Major arc CBD measures 300°.

Question illustration
A
radians
Option A
B
radians
Option B
C
radians
Option C
D
radians
Option D
9

Circle O has a circumference of approximately 250π ft.

Question illustration
A
40 ft
B
80 ft
C
125 ft
D
250 ft
10

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
11

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
12

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
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

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