Radian Measure

Question 1

An angle measures radians. What is the degree measure of the angle?

Revolt · Accepted Answer

B: 140°

Question 2

How many radians is -135°?

Revolt · Accepted Answer

C:

Question 3

An angle measures 4.3 radians. To the nearest degree, what is the measure of the angle? degrees

Revolt · Accepted Answer

246

Question 4

Compare an angle having a measure of 120° with that of an angle whose measure is radians. Explain your reasoning.

Revolt · Accepted Answer

To compare the two angles, convert them to the same unit. To convert 120° to radians, multiply by π/180°, which gives 2π/3 radians. To compare 2π/3 and 5π/6, use a common denominator: 2π/3 = 4π/6. Since 4π/6 is less than 5π/6, 120° is smaller than 5π/6 radians. Alternatively, converting 5π/6 radians to degrees: (5π/6) * (180°/π) = 150°. Since 120° is less than 150°, 120° is smaller than 5π/6 radians.

Question 5

A circle has a radius of 10 inches. Find the approximate length of the arc intersected by a central angle of

Revolt · Accepted Answer

C: 20.94 inches

Question 6

What is the approximate length of arc s on the circle?

Revolt · Accepted Answer

C: 52.36 in.

Question 7

A circle has a central angle measuring 90° that intersects an arc of length 117.75 inches.Using 3.14 for , what is the length of the radius of the circle? inches

Revolt · Accepted Answer

75

Question 8

[___] rotations

Revolt · Accepted Answer

4

Question 9

Which of the following did you include in your explanation?To compare the angles, write them in terms of the same unit of measure.Convert radians, or convert radians to . is smaller than radians.

Revolt · Accepted Answer

A: To compare the angles, write them in terms of the same unit of measure.; B: Convert radians, or convert radians to .; C: is smaller than radians.

Question 10

2 pi

Revolt · Accepted Answer

C: 8 pi

Radian Measure Answers

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