AnswersDHS Algebra 2 VGeometric Series

The Unit Circle Answers

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What is radians converted to degrees? If necessary, round your answer to the nearest degree.

Question illustration
A
30°
B
45°
C
60°
D
90°
2
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A circle has a central angle measuring radians that intersects an arc of length 33 cm. What is the length of the radius of the circle? Round your answer to the nearest whole cm. Use 3.14 for .

Question illustration
A
11 cm
B
15 cm
C
22 cm
D
41 cm
3

A circle has a radius of 5 ft, and an arc of length 7 ft is made by the intersection of the circle with a central angle. Which equation gives the measure of the central angle, q?

A
Theta= five-sevenths
Option A
B
Theta = Seven-fifths
Option B
C
Theta = 7 + 5
Option C
D
Theta = 7 times 5
Option D
4

A circle has a central angle measuring radians that intersects an arc of length 45 in. What is the length of the radius of the circle? Round your answer to the nearest tenth. Use 3.14 for .

Question illustration
A
2.4 in.
B
19.1 in.
C
105.6 in.
D
135.0 in.
5

What is the approximate length of arc s on the circle below? Use 3.14 for . Round your answer to the nearest tenth.

Question illustration
A
5.6 in.
B
6.3 in.
C
14.3 in.
D
25.1 in.
6

How long is the arc intersected by a central angle of radians in a circle with a radius of 4.5 cm? Round your answer to the nearest tenth. Use 3.14 for .

Question illustration
A
0.3 cm
B
0.7 cm
C
2.9 cm
D
7.1 cm
7

What is 4 radians converted to degrees? If necessary, round your answer to the nearest degree.

A
13°
B
45°
C
229°
D
720°
8

What is 720° converted to radians?

A
One-fourth
Option A
B
StartFraction Pi Over 4 EndFraction
Option B
C
StartFraction 4 Over pi EndFraction
Option C
D
4 pi
Option D
9

Which expression converts 45° to radians?

A
45 degrees times 180 degrees
Option A
B
45 degrees times StartFraction 180 degrees Over pi EndFraction
Option B
C
45 degrees times StartFraction pi Over 180 degrees EndFraction
Option C
D
45 degrees times pi
Option D
10

Which expression converts 8 radians to degrees?

A
8 times pi
Option A
B
8 times StartFraction pi Over 180 degrees EndFraction
Option B
C
8 times 180 degrees
Option C
D
8 times StartFraction 180 degrees Over pi EndFraction
Option D

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The Unit Circle Answers — DHS Algebra 2 V