AnswersPascua Algebra 2 B Fall 2026Radian Measure

Radian Measure Answers

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1
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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
2
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A circle has a central angle of 6 radians that intersects an arc of length 14 in. Which equation finds the length of the radius, r, of the circle?

A
r = Six-fourteenths
Option A
B
r = Fourteen-sixths
Option B
C
r = 6 + 14
Option C
D
r = 6 times 14
Option D
3

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.
4

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

A
13°
B
45°
C
229°
D
720°
5

Which expression converts radians to degrees?

Question illustration
A
StartFraction pi Over 4 EndFraction times 180 degrees
Option A
B
StartFraction pi Over 4 EndFraction times StartFraction 180 degrees Over pi EndFraction
Option B
C
StartFraction pi Over 4 EndFraction times StartFraction Pi Over 180 degrees EndFraction
Option C
D
StartFraction pi Over 4 EndFraction times pi
Option D
6

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

Question illustration
A
30°
B
90°
C
150°
D
900°
7

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
8

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
9

What is –36° converted to radians?

A
Negative 5 pi
Option A
B
Negative StartFraction 5 Over pi EndFraction
Option B
C
Negative StartFraction pi Over 5 EndFraction
Option C
D
Negative StartFraction 1 Over 5 EndFraction
Option D
10

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
11

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
12

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
13

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.
14

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°
15

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.
16

Which of the following are in the correct order from least to greatest?

A
, 60°, , , 255°
Option A
B
255°, , , 60°,
Option B
C
, , 60°, 255°
Option C
D
255°, 60°, , ,
Option D
17

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
18

Which equation gives the length of an arc, s, intersected by a central angle of 3 radians in a circle with a radius of 4 in.?

A
s = three-fourths
Option A
B
s = four-thirds
Option B
C
s = 4 + 3
Option C
D
s = 4 times 3
Option D

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