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Worksheets8.1-8.2 Review
Total questions: 45
Worksheet time: 1hrs 24mins
Name
Class
Date
1.
FIND THE ARC LENGTH OF THE BOLDED ARC
a)
A
b)
B
c)
C
d)
D
2.
Find the arc length. Leave your answer in terms of π.
a)
7/4π
b)
7/2π
c)
1/8π
d)
45π
3.
Alison is jogging on a circular track that has a radius of 140 feet. She runs along the track from point R to point N, a distance of 230 feet. Find to the nearest degree, the measure of minor arc RN.
a)
47
b)
74
c)
94
d)
123
4.
Find the area of the dark blue sector shown at the left. The radius of the circle is 4 units and the length of the arc (the curved edge of the sector) measures 7.85 units. Express answer to thenearest tenth of a square unit.
a)
0.3 square units
b)
15.7 square units
c)
19.7 square units
d)
50.3 square units
5.
Find the area of the shaded sector of circle O. The radius is 6 inches and the central angle is 100°. Express answer to the nearest tenth of a square inch.
a)
9.2 sq. in.
b)
10.5 sq. in.
c)
31.4 sq. in.
d)
38.2 sq. in.
6.
When cosθ=0, which of the following are undefined?
a)
tanθ
b)
cotθ
c)
cscθ
d)
sinθ
7.
When cotθ=0, which of the following functions also equal zero?
a)
cosθ
b)
sinθ
c)
cotθ
d)
secθ
8.
Which of the following pairs of trig functions have the same value?
a)
sin(3π/4)
cos(π/4)
b)
sin(π/4)
cos(3π/4)
c)
sin(π/4)
cos(π/4)
d)
sin(3π/4)
cos(5π/4)
9.
135° is found in which quadrant?
a)
Quadrant 1
b)
Quadrant 2
c)
Quadrant 3
d)
Quadrant 4
10.
200° is found in which quadrant?
a)
Quadrant 1
b)
Quadrant 2
c)
Quadrant 3
d)
Quadrant 4
11.
10π/9 is equal to how many degrees?
a)
100°
b)
140°
c)
190°
d)
200°
12.
Which of the following is equal to 45°?
a)
405°
b)
-300°
c)
415°
d)
-325°
13.
Based on the unit circle, what is the value of sin?
a)
y/r
b)
x/r
c)
r/y
d)
y/x
14.
Based on the unit circle, what is the value of cos?
a)
y/r
b)
x/r
c)
r/y
d)
y/x
15.
Based on the unit circle, what is the value of tan?
a)
y/r
b)
x/r
c)
r/y
d)
y/x
16.
Based on the unit circle, what is the value of csc?
a)
y/r
b)
x/r
c)
r/y
d)
y/x
17.
Based on the unit circle, what is the value of sec?
a)
y/r
b)
x/r
c)
r/y
d)
r/x
18.
What is the exact value of sin 2π/3
a)
1/2
b)
-1/2
c)
√3/2
d)
-√3/2
19.
What is the exact value of tan (-π)?
a)
undefined
b)
0
c)
1
d)
-1
20.
What is the exact value of cot 3π/4
a)
-√2/2
b)
-1
c)
1
d)
√2/2
21.
What is the exact value of csc 0°
a)
0
b)
1
c)
-1
d)
undefined
22.
What is the radius of a unit circle?
a)
1
b)
2
c)
1/2
d)
0
23.
What is the exact value of sin π/4
a)
√2∕2
b)
1/2
c)
√3/2
d)
0
24.
What is the exact value of cos 5π/6
a)
-1/2
b)
1/2
c)
√3/2
d)
-√3/2
25.
What is the exact value of sin 7π/6
a)
1/2
b)
-1/2
c)
√3/2
d)
-√3/2
26.
What is the exact value of cos 90°
a)
0
b)
1
c)
-1
d)
undefined
27.
What is the exact value of sin 150°
a)
-1/2
b)
-√3/2
c)
1/2
d)
√3/2
28.
What is the exact value of cos 135°
a)
√2/2
b)
-√2/2
c)
√3/2
d)
-√3/2
29.
What is the exact value of sin 180°
a)
0
b)
1
c)
-1
d)
undefined
30.
What is the exact value of cos 180°
a)
0
b)
1
c)
-1
d)
undefined
31.
π/3 is equal to how many degrees?
a)
30°
b)
60°
c)
90°
d)
120°
32.
90° is equal to how many radians?
a)
π/4
b)
π/2
c)
π
d)
2π
33.
cos(60°)
a)
0
b)
1/2
c)
√3/2
d)
1
34.
What is a complete circle in radians?
a)
π
b)
2π
c)
1/2 π
d)
1
35.
What is a complete circle in degrees?
a)
720
b)
180
c)
360
d)
90
36.
What is half a circle in radians?
a)
π/4
b)
π
c)
2π
d)
π/2
37.
sec 3π/2
a)
0
b)
undefined
c)
1
d)
-1
38.
tan 7π/4
a)
-1
b)
1
c)
√2/2
d)
undefined
39.
Convert to degrees:
π/10
π/10
a)
18°
b)
180°
c)
36°
d)
10°
40.
Convert to degrees:
3π/5
3π/5
a)
36°
b)
108°
c)
300°
d)
54°
41.
Convert to DMS:
37.245°
37.245°
a)
37°14′ 7″
b)
37° 24′ 5″
c)
37° 14′ 42″
d)
37° 24′ 30″
42.
Convert to DMS:
-25.485°
-25.485°
a)
-25°48′ 5″
b)
-25°48′ 30″
c)
-25° 29′ 1″
d)
-25° 29′ 6″
43.
Determine the linear velocity of the tips of the blades in inches per minute for a ceiling fan with 20 inch blades rotating at 45 rpm.
a)
5654.9 in/min
b)
1800 in/min
c)
2827.4 in/min
d)
900 in/min
44.
The wheels of a car have radius 11 in. and are rotating at 600 rpm. Determine the speed of the car in miles/hour to the nearest tenth. (Determine ω (angular velocity) first and then use v=ω⋅r and convert to miles/hour)
a)
6.3 miles/hour
b)
12.5 miles/hour
c)
39.3 miles/hour
d)
78.5 miles/hour
45.
Two bugs ride a turntable which is rotating at a constant rate of 4 rad/s. Bug A is at a radius of 4 cm, while bug B is at a radius of 8 cm. Which of the following is true?
a)
Bug A has a greater rotational speed.
b)
Bug B has a greater rotational speed.
c)
Bug A has a greater speed.
d)
Bug B has a greater speed.
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