# senior Quiz 2 review by 11yflme

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```									                              TRIGONOMETRY
QUIZ #2 REVIEW

Read directions carefully and show all work.
Round any decimals to 3 places.

1) Convert the angle measure from degrees to radians. Express your
answer as a multiple of  .
a) 60o

b) 120o

c) -90o

d) 750o

to three decimal places.
a) 480o

b) -127.5o

c) 12o10’30”

3) Convert the angle measure from radians to degrees.

a)
7

15
b)
8

d) -4.2 
4) Find (if possible) the complement and supplement of each angle.
a) 60o

b) 101o


c)
3

11
d)
12

5) Find the length of the arc on a circle with a radius of 20 inches
intercepted by a central angle of 138o.

6) Find the length of the arc on a circle with a diameter of 12 meters

intercepted by a central angle of radians.
3

7) Compact discs have all but replaced phonograph record. Phonograph
records are vinyl discs that rotate on a turntable. A typical record
1
album is 12 inches in diameter and plays at 33 revolutions per minute
3
(rpm).

a) What is the angular speed of a record album?

b) What is the linear speed of the outer edge of a record album?
8) At what speed is a bicyclist traveling when his 27-inch-diameter tires
are rotating at an angular speed of 5π radians per second?

9) Find the area of the sector of a circle with a radius of 18 inches and
central angle θ = 120o.

10) Find the area of the sector of a circle with a diameter of 13 mm and
5
central angle θ =     .
6

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