Answers LAUSD-Algebra II B Prescriptive - SummerModeling with Exponential and Logarithmic Equations

Radian Measure Answers

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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?

r = Six-fourteenths

r = Fourteen-sixths

r = 6 + 14

r = 6 times 14

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

, 60°, , , 255°

255°, , , 60°,

, , 60°, 255°

255°, 60°, , ,

Which expression converts 8 radians to degrees?

8 times pi

8 times StartFraction pi Over 180 degrees EndFraction

8 times 180 degrees

8 times StartFraction 180 degrees Over pi EndFraction

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

30°

45°

60°

90°

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.?

s = three-fourths

s = four-thirds

s = 4 + 3

s = 4 times 3

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

13°

45°

229°

720°

Which expression converts 45° to radians?

45 degrees times 180 degrees

45 degrees times StartFraction 180 degrees Over pi EndFraction

45 degrees times StartFraction pi Over 180 degrees EndFraction

45 degrees times pi

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 .

11 cm

15 cm

22 cm

41 cm

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 .

2.4 in.

19.1 in.

105.6 in.

135.0 in.

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 .

0.3 cm

0.7 cm

2.9 cm

7.1 cm

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Radian Measure Answers

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