Answers2627 ALGEBRA II AFunction Operations

Radian Measure Answers

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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
2
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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
3

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

A
13°
B
45°
C
229°
D
720°
4

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
5

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
6

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
7

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
8

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
9

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°
10

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

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