AnswersPBCSD_Grade_Forgiveness_1200330_Algebra 2_S2_2024Modeling with Exponential and Logarithmic Equations

Radian Measure Answers

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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.
2
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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°
3

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
4

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°
5

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

A
13°
B
45°
C
229°
D
720°
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

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
8

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
9

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
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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Radian Measure Answers —…