Radian Measure

Question 1

A circle has a radius of 10 inches. Find the approximate length of the arc intersected by a central angle of StartFraction 2 pi Over 3 EndFraction

Revolt · Accepted Answer

20.94 inches

Question 2

inches

Revolt · Accepted Answer

125.7

Question 3

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

Revolt · Accepted Answer

52.36 in.

Question 4

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

Revolt · Accepted Answer

75

Question 5

rotations

Revolt · Accepted Answer

4

Question 6

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

Revolt · Accepted Answer

140°

Question 7

How many radians is -135°?

Revolt · Accepted Answer

Answer image: //media.edgenuity.com/EVresources/3111-13-02-20-02-task/mc001-3.jpg

Question 8

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

Revolt · Accepted Answer

246

Question 9

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 10

Which of the following did you include in your explanation?

Revolt · Accepted Answer

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

Radian Measure Answers

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