Question 1

Find angle 45° in radian measure as a multiple of ?. ?

Accepted Answer

A)    4π3\frac { 4 \pi } { 3 }34π​ 
B)    2π\frac { \sqrt { 2 } } { \pi }π2c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5,-10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8,-50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0,35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5,-221l0 -0c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422s-65,47,-65,47zM834 80h400000v40h-400000z'/>​​ 
C)  4?
D)    π4\frac { \pi } { 4 }4π​ 
E)    π22\frac { \pi \sqrt { 2 } } { 2 }2π2c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5,-10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8,-50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0,35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5,-221l0 -0c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422s-65,47,-65,47zM834 80h400000v40h-400000z'/>​​

Question 2

Determine the quadrant in which an angle with measure 114° lies.

Accepted Answer

A)  4th quadrant
B)  2nd quadrant
C)  3rd quadrant
D)  1st quadrant

Question 3

Determine the quadrant in which an angle,θ,lies if θ = 5.10 radians.

Accepted Answer

A)  1st quadrant
B)  2nd quadrant
C)  3rd quadrant
D)  4th quadrant

Question 4

A car is traveling along Route 66 at a rate of 55 miles per hour,and the diameter of its wheels are 2.7 feet.Find the number of revolutions per minute the wheels are turning.Round answer to one decimal place.

Accepted Answer

A)  285.3 rpm
B)  845.3 rpm
C)  570.6 rpm
D)  108.1 rpm
E)  190.2 rpm

Question 5

Convert 134°24´40´´ to degree-decimal form.Round answer to three decimal places.

Accepted Answer

A)  134.406°
B)  134.411°
C)  134.844°
D)  134.203°
E)  134.206°

Question 6

Find the radian measure of the central angle of the circle of radius 6 centimeters that intercepts an arc of length 32 centimeters.

Accepted Answer

A)    θ=163	heta = \frac { 16 } { 3 }θ=316​ 
B)    θ=23	heta = \frac { 2 } { 3 }θ=32​ 
C)    θ=316	heta = \frac { 3 } { 16 }θ=163​ 
D)    θ=327	heta = \frac { 32 } { 7 }θ=732​ 
E)    θ=65	heta = \frac { 6 } { 5 }θ=56​

Question 7

Find the quadrant in which the given angle lies. ​
116°
​

Accepted Answer

A)  Quadrant I
B)  Quadrant IV
C)  Quadrant III
D)  Quadrant II
E)  None of the above

Question 8

Find the supplement of the following angle. ​
148°
​

Accepted Answer

A)  Supplement: 212°
B)  Supplement: 148°
C)  Supplement: 32°
D)  Supplement: 58°
E)  Supplement: 33

Question 9

Find the area of the sector of the circle with radius r and central angle ?.Round to two decimal places. ?
Radius r
Central Angle ?
?4 inches?  π8\frac { \pi } { 8 }8π​  ?

Accepted Answer

A)  A ? 12.57 square inches
B)  A ? 5.14 square inches
C)  A ? 6.28 square inches
D)  A ? 1.14 square inches
E)  A ? 3.14 square inches

Question 10

Convert the angle measure from radians to degrees.Round to three decimal places.?  π8\frac { \pi } { 8 }8π​  ?

Accepted Answer

A)    π8=22.5∘\frac { \pi } { 8 } = 22.5 ^ { \circ }8π​=22.5∘ 
B)    π8=27.5∘\frac { \pi } { 8 } = 27.5 ^ { \circ }8π​=27.5∘ 
C)    π8=11.25∘\frac { \pi } { 8 } = 11.25 ^ { \circ }8π​=11.25∘ 
D)    π8=16.25∘\frac { \pi } { 8 } = 16.25 ^ { \circ }8π​=16.25∘ 
E)    π8=57.5∘\frac { \pi } { 8 } = 57.5 ^ { \circ }8π​=57.5∘

Question 11

Convert 185.447° to D°M´S´´ form.

Accepted Answer

A)  185°13´25´´
B)  185°22´41´´
C)  185°20´37´´
D)  185°6´12´´
E)  185°26´49´´

Question 12

Convert the angle measure from radians to degrees.Round to three decimal places. ​
-6
​

Accepted Answer

A)  -6 ≈ -354.075°
B)  -6 ≈ -349.175°
C)  -6 ≈ -343.775°
D)  -6 ≈ -333.275°
E)  -6 ≈ -338.175°

Question 13

Convert angle measure to decimal degree form.Round your answer to three decimal places. ​
298°39'
​

Accepted Answer

A)  298°39' ≈ 337°
B)  298°39' ≈ 298.39°
C)  298°39' ≈ 308.65°
D)  298°39' ≈ 298.65°
E)  298°39' ≈ 288.65°

Question 14

Find (if possible) the supplement of  3π4\frac { 3 \pi } { 4 }43π​  .

Accepted Answer

A)    3π8\frac { 3 \pi } { 8 }83π​ 
B)    7π8\frac { 7 \pi } { 8 }87π​ 
C)    π4\frac { \pi } { 4 }4π​ 
D)    5π16\frac { 5 \pi } { 16 }165π​ 
E)  not possible  C

Question 15

Determine the quadrant in which an angle,θ,lies if θ = 5.00 radians.

Accepted Answer

A)  2nd quadrant
B)  4th quadrant
C)  3rd quadrant
D)  1st quadrant B

Question 16

Find the area of the sector of the circle with radius 2 centimeters and central angle  10π6\frac { 10 \pi } { 6 }610π​  .

Accepted Answer

A)  ?  A=5π3 cm2A = \frac { 5 \pi } { 3 } \mathrm {~cm} ^ { 2 }A=35π​ cm2 
B)    A=100π3 cm2A = \frac { 100 \pi } { 3 } \mathrm {~cm} ^ { 2 }A=3100π​ cm2 
C)    A=10π3 cm2A = \frac { 10 \pi } { 3 } \mathrm {~cm} ^ { 2 }A=310π​ cm2 
D)    A=5π2 cm2A = \frac { 5 \pi } { 2 } \mathrm {~cm} ^ { 2 }A=25π​ cm2 
E)    A=20π3 cm2A = \frac { 20 \pi } { 3 } \mathrm {~cm} ^ { 2 }A=320π​ cm2

Question 17

Rewrite  3π49\frac { 3 \pi } { 49 }493π​  in degree measure.Round to three decimal places.

Accepted Answer

A)  11.020°
B)  16.531°
C)  13.776°
D)  3.673°
E)  5.510°

Question 18

Find the length of the arc on a circle of radius r intercepted by a central angle θ.Round to two decimal places. ​
Radius r
Central Angle θ
15 centimeters
​66°
​

Accepted Answer

A)  s ≈ 19.28 centimeters
B)  s ≈ 15.37 centimeters
C)  s ≈ 17.28 centimeters
D)  s ≈ 5.50 centimeters
E)  s ≈ 15.28 centimeters

Question 19

Convert the angle measure from degrees to radians.Round to three decimal places. ​
-206.4°
​

Accepted Answer

A)  -206.4° ≈ -3.902 radians
B)  -206.4° ≈ -3.502 radians
C)  -206.4° ≈ -3.602 radians
D)  -206.4° ≈ 3.502 radians
E)  -206.4° ≈ 3.602 radians

Question 20

Rewrite  5π3\frac { 5 \pi } { 3 }35π​  in degree measure.

Accepted Answer

A)  300°
B)  450°
C)  600°
D)  150°
E)  200°  A

Exam 23: Radian and Degree Measure

Find angle 45° in radian measure as a multiple of ?. ?

Correct AnswerverifiedShow Answer

Determine the quadrant in which an angle with measure 114° lies.

Correct AnswerverifiedShow Answer

Determine the quadrant in which an angle,θ,lies if θ = 5.10 radians.

Correct AnswerverifiedShow Answer

A car is traveling along Route 66 at a rate of 55 miles per hour,and the diameter of its wheels are 2.7 feet.Find the number of revolutions per minute the wheels are turning.Round answer to one decimal place.

Correct AnswerverifiedShow Answer

Convert 134°24´40´´ to degree-decimal form.Round answer to three decimal places.

Correct AnswerverifiedShow Answer

Find the radian measure of the central angle of the circle of radius 6 centimeters that intercepts an arc of length 32 centimeters.

Correct AnswerverifiedShow Answer

Find the quadrant in which the given angle lies. ​ 116° ​

Correct AnswerverifiedShow Answer

Find the supplement of the following angle. ​ 148° ​

Correct AnswerverifiedShow Answer

Find the area of the sector of the circle with radius r and central angle ?.Round to two decimal places. ? Radius r Central Angle ? ?4 inches? π8\frac { \pi } { 8 }8π​ ?

Correct AnswerverifiedShow Answer

Convert the angle measure from radians to degrees.Round to three decimal places.? π8\frac { \pi } { 8 }8π​ ?

Correct AnswerverifiedShow Answer

Convert 185.447° to D°M´S´´ form.

Correct AnswerverifiedShow Answer

Convert the angle measure from radians to degrees.Round to three decimal places. ​ -6 ​

Correct AnswerverifiedShow Answer

Convert angle measure to decimal degree form.Round your answer to three decimal places. ​ 298°39' ​

Correct AnswerverifiedShow Answer

Find (if possible) the supplement of 3π4\frac { 3 \pi } { 4 }43π​ .

Correct AnswerverifiedC

Determine the quadrant in which an angle,θ,lies if θ = 5.00 radians.

Correct AnswerverifiedB

Find the area of the sector of the circle with radius 2 centimeters and central angle 10π6\frac { 10 \pi } { 6 }610π​ .

Correct AnswerverifiedShow Answer

Rewrite 3π49\frac { 3 \pi } { 49 }493π​ in degree measure.Round to three decimal places.

Correct AnswerverifiedShow Answer

Find the length of the arc on a circle of radius r intercepted by a central angle θ.Round to two decimal places. ​ Radius r Central Angle θ 15 centimeters ​66° ​

Correct AnswerverifiedShow Answer

Convert the angle measure from degrees to radians.Round to three decimal places. ​ -206.4° ​

Correct AnswerverifiedShow Answer

Rewrite 5π3\frac { 5 \pi } { 3 }35π​ in degree measure.

Correct AnswerverifiedA

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Find the quadrant in which the given angle lies. 116°

Correct Answer
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Find the supplement of the following angle. 148°

Correct Answer
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Find the area of the sector of the circle with radius r and central angle ?.Round to two decimal places. ? Radius r Central Angle ? ?4 inches? $\frac { \pi } { 8 }$ ?

Correct Answer
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Convert the angle measure from radians to degrees.Round to three decimal places.? $\frac { \pi } { 8 }$ ?

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Convert the angle measure from radians to degrees.Round to three decimal places. -6

Correct Answer
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Convert angle measure to decimal degree form.Round your answer to three decimal places. 298°39'

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Find (if possible) the supplement of $\frac { 3 \pi } { 4 }$ .

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C

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B

Find the area of the sector of the circle with radius 2 centimeters and central angle $\frac { 10 \pi } { 6 }$ .

Correct Answer
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Rewrite $\frac { 3 \pi } { 49 }$ in degree measure.Round to three decimal places.

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Find the length of the arc on a circle of radius r intercepted by a central angle θ.Round to two decimal places. Radius r Central Angle θ 15 centimeters 66°

Correct Answer
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Convert the angle measure from degrees to radians.Round to three decimal places. -206.4°

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Rewrite $\frac { 5 \pi } { 3 }$ in degree measure.

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A