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WorksheetsCircles and Trig Functions #1
Total questions: 162
Worksheet time: 1hrs 21mins
Name
Class
Date
1.
Solve for the missing angle
a)
50
b)
0.053
c)
36.9
d)
95
2.
Solve for the missing angle
a)
50.2
b)
93.1
c)
12.6
d)
42.2
3.
Solve for the misssing distance
a)
18.9
b)
19.5
c)
47
d)
27.5
4.
If you are given the hypotenuse and an adjacent side, which trig function should you use?
a)
sine
b)
cosine
c)
tangent
d)
cotangent
5.
Susan is flying a kite, which gets caught in the top of a tree. Use the diagram to estimate the height of the tree.
a)
63 ft
b)
65 ft
c)
74 ft
d)
87 ft
6.
a)
A
b)
B
c)
C
d)
D
7.
a)
A
b)
B
c)
C
d)
D
8.
a)
A
b)
B
c)
C
d)
D
9.
Which Trig function do you use?
a)
Sine
b)
Cosine
c)
Tangent
10.
REVIEW:
What is the value of x?
What is the value of x?
a)
132
b)
66
c)
114
d)
48
11.
REVIEW:
Lines r and s are cut by a transversal. What value of x proves r ∥ s?
Lines r and s are cut by a transversal. What value of x proves r ∥ s?
a)
43
b)
37
c)
143
d)
37
12.
REVIEW:
Solve for X.
Solve for X.
a)
2 ft
b)
3 ft
c)
4 ft
d)
6 ft
13.
REVIEW:
Choose the similarity statement for the triangles.
Choose the similarity statement for the triangles.
a)
ΔMNL ∼ ΔOPQ
b)
ΔNOM ∼ ΔPQL
c)
ΔLMN ∼ ΔPQO
d)
ΔMLN ∼ ΔPQO
14.
REVIEW:
Find the missing side
Find the missing side
a)
48
b)
108
c)
83.6
d)
72
15.
Find x. Assume that segments that appear to be tangent are tangent.
a)
2
b)
11
c)
7.6
d)
9
16.
Find x
a)
10
b)
5
c)
18
d)
9
17.
Use chords to solve for x
a)
x = 3 cm
b)
x = 4 cm
c)
x = 5 cm
d)
x = 6 cm
18.
In the diagram, a tangent and a line drawn to the point of tangency form a right triangle. Solve for "?"
a)
-15
b)
6
c)
15
d)
14
19.
Find x. Assume that segments that appear to be tangent are tangent.
a)
11.2
b)
18.0
c)
25.0
d)
30.0
20.
What is the value of x?
a)
22
b)
25
c)
15
d)
20
21.
Assume that all the lines that appear tangent are tangent. Find the perimeter
a)
54
b)
36
c)
48
d)
42
22.
Is line AB tangent to the circle?
a)
YES
b)
NO
NO
NO
c)
Can't Tell
Can't Tell
Can't Tell
23.
Find the length of the missing side.
a)
17 cm
b)
22 cm
c)
15 cm
d)
13 cm
24.
What is the measure of arc AB?
a)
140
b)
142
c)
180
d)
153
25.
What is the measure of arc WYZ?
a)
231
b)
255
c)
168
d)
200
26.
Solve for the missing angle.
a)
24o
b)
48o
c)
12o
d)
6o
27.
a)
F
b)
G
c)
H
d)
J
28.
What is the measure of arc KL?
a)
108
b)
106
c)
110
d)
112
29.
What is the measure of angle DEF?
a)
72
b)
73
c)
74
d)
75
30.
a)
A
b)
B
c)
C
d)
D
31.
What is the longest chord in a circle?
a)
Radius
b)
Tangent line
c)
Semicircle
d)
Diameter
32.
Find the measure of <E.
a)
7
b)
8
c)
44
33.
What is the measure of angle HKI?
a)
72
b)
73
c)
74
d)
75
34.
What is the measure of arc GF?
a)
168
b)
169
c)
167
d)
165
35.
What is the measure of arc AD?
a)
137
b)
136
c)
135
d)
134
36.
What is the m∠U?
a)
38⁰
b)
19⁰
c)
76⁰
d)
90⁰
37.
What is the measure of angle 2?
a)
80
b)
45
c)
125
d)
40
38.
Find the measure of arc RT.
a)
123
b)
83
c)
52
d)
24
39.
Find the measure of angle MNQ.
a)
89
b)
45
c)
158
d)
22
40.
Find x.
a)
29⁰
b)
33⁰
c)
41.5⁰
d)
50⁰
41.
Solve for x and y.
a)
x=85⁰ y = 150⁰
b)
x = 85⁰ y = 50⁰
c)
x = 95⁰ y = 150⁰
d)
x = 95⁰ y = 50⁰
42.
Find m∠DAR.
a)
34⁰
b)
17⁰
c)
68⁰
d)
136⁰
43.
What is the m∠A?
a)
20
b)
40
c)
60
d)
30
44.
A square has side length 95. What is the length of the diagonal of the square? Express your answer in simplest radical form.
a)
134.4
b)
67.2
c)
95√2
d)
(95√2)/2
45.
A square has diagonal length 13 m. What is the side length of the square, to the nearest centimeter?
a)
9.19
b)
18.38
c)
5.10
d)
13
46.
An equilateral triangle has height 26 cm. What is the length of each side of the triangle, to the nearest centimeter?
a)
26, 13, 23
b)
26, 26, 38
c)
26, 15, 30
d)
26, 42, 38
47.
Find the value of y.
a)
8
b)
4
c)
2√3
d)
8√3
48.
Find the value of y to the nearest tenth.
a)
4.5
b)
3.2
c)
2.3
d)
5
49.
Find the value of y.
a)
7
b)
7√3
c)
14√3
d)
(14√3)/3
50.
Find the value of y.
a)
11√2
b)
11
c)
22
d)
(11√2)/2
51.
Find the value of x.
a)
18
b)
18√3
c)
36√3
d)
12
52.
Find the value of y.
a)
9
b)
18√2
c)
9√2
d)
(9√2)/2
53.
A square tablecloth has a line of embroidered flowers along the diagonal. The tablecloth is 48 in. on each side. How long is the embroidery line? Round to the nearest inch.
a)
48√2
b)
68
c)
34
d)
24√2
54.
Set up the problem so that you can solve for X.
a)
sin X = 41/28
b)
tan X = 41/28
c)
cos X = 28/41
d)
sin X = 28/41
55.
Solve for the missing angle
a)
50.5 degrees
b)
12.7 degrees
c)
36.9 degrees
d)
72.2 degrees
56.
Solve for x. Round to the nearest tenth.
a)
15.3
b)
16.6
c)
24.1
d)
24.3
57.
Find the measure of the indicated angle (?) round to the nearest tenth.
a)
9.4
b)
55.2
c)
20.15
d)
19.4
58.
Find the measure of the missing angle.
a)
64o
b)
26o
c)
61o
d)
8o
59.
Solve for the missing angle
a)
50.2
b)
93.1
c)
12.6
d)
42.2
60.
Find the measure of the missing angle.
a)
49o
b)
50o
c)
41o
d)
33o
61.
Choose the correct ratio.
a)
sin(37)=x/14
b)
cos(37)=x/14
c)
tan(37)=x/14
d)
sin(37)=14/x
62.
A hawk sitting on a tree branch spots a mouse on the ground 15 feet from the base of the tree. The hawk swoops down toward the mouse at an angle of 30 degrees. What is the distance from the tree branch to the mouse?
a)
7.5 ft
b)
15 ft
c)
26 ft
d)
30 ft
63.
Susan is flying a kite, which gets caught in the top of a tree. Use the diagram to estimate the height of the tree.
a)
63 ft
b)
65 ft
c)
74 ft
d)
87 ft
64.
What is the length of y in this picture?
a)
45
b)
5√2
c)
90
d)
5
65.
What is the length of x in this 45-45-90 triangle?
a)
4√2
b)
4
c)
8
d)
4√3
66.
What is the length of y in this 45-45-90 triangle?
a)
8√2
b)
4√2
c)
4
d)
8
67.
What is the length of u and v in this 30-60-90 triangle?
a)
u = 8 v = 4√3
b)
u = 4√2 v = 8
c)
u = 16 v = 8
d)
u = 4√3 v = 8
68.
What is the length of y in this picture?
a)
45
b)
5√2
c)
90
d)
5
69.
A tourist views a deer from a height of 45 feet. The horizontal distance between the tourist and the deer is 130 feet. At what angle (x) should the tourist hold his camera to photograph the deer? Round your answer to the nearest degree.
a)
19 degrees
b)
45 degrees
c)
71 degrees
d)
138 degrees
70.
Solve for the misssing distance
a)
18.9 meters
b)
19.5 meters
c)
47.2 meters
d)
27.5 meters
71.
A rectangular field is 50 yards wide and 100 yards long. Ethan walks diagonally across the field. How far does he walk?
a)
111.8 yards
b)
115 yards
c)
127.3 yards
d)
119 yards
72.
Solve for x. Round to the nearest tenth.
a)
9.5
b)
30.8
c)
3.1
73.
Solve for x. Round to the nearest tenth.
a)
7.5
b)
34.1
c)
14.1
74.
Find the length of side y.
a)
22.32 cm
b)
36.5 cm
c)
76.34 cm
d)
87.76 cm
75.
What is the length of side x?
a)
6.57 cm
b)
7 cm
c)
7.44 cm
d)
26.33 cm
76.
Find the length of side w.
a)
21.4 cm
b)
18.0 cm
c)
36.5 cm
d)
43.6 cm
77.
Solve for x.
a)
24.20
b)
4.92
c)
290.4
d)
29.75
78.
Solve for x and y in the special right triangle.
a)
x = 7, y = 7√2
b)
x = 14 y = 7√2
c)
x = 14√2 y = 7√2
d)
x = 14 y = 14√2
79.
Find the trig value rounded to the nearest ten-thousandth.
Tan(42°)
Tan(42°)
a)
.9004
b)
.8123
c)
88.6361
d)
42
80.
Find x
a)
20
b)
5.9
c)
33
d)
42
81.
a)
18.9
b)
19.5
c)
47
d)
27.5
82.
Choose the correct ratio.
a)
cos(33)=x/14
b)
sin(33)=x/14
c)
cos(33)=14/x
d)
sin(33)=14/x
83.
Choose the correct ratio.
a)
sin(37)=x/14
b)
cos(37)=x/14
c)
tan(37)=x/14
d)
sin(37)=14/x
84.
Find the missing side
a)
36
b)
76.8
c)
12
d)
40
85.
Find the length of the missing side.
a)
25 cm
b)
42 cm
c)
52 cm
d)
48 cm
86.
Solve for x.
a)
38.9
b)
40.2
c)
45.6
d)
54
87.
Solve for x. Round to the nearest tenth.
a)
5.3
b)
6.2
c)
8.5
88.
Which is true of a minor arc?
a)
It forms half a circle.
b)
It forms a whole circle.
c)
It measures greater than 180 degrees.
d)
It measures less than 180 degrees.
89.
Which is true of a major arc?
a)
Forms half a circle.
b)
Forms a whole circle.
c)
Measures greater than 180 degrees.
d)
Measures less than 180 degrees.
90.
Name a minor arc
a)
AD
b)
ADB
c)
AB
d)
CD
91.
Name a major arc.
a)
ABD
b)
BDA
c)
BCD
d)
DA
92.
What is the measure of arc AD?
a)
38
b)
142
c)
180
d)
153
93.
What is the measure of arc AB?
a)
140
b)
142
c)
180
d)
153
94.
a)
x = 160
b)
x = 40
c)
x = 80
d)
x = 360
95.
What is the measure of arc AXB
a)
50
b)
100
c)
180
d)
260
96.
What is the measure of arc AYB
a)
50
b)
100
c)
180
d)
260
97.
What is the measure of ∠PTQ?
a)
100°
b)
140°
c)
180°
d)
120°
98.
If the measure of arc ABC = 210°, what is the measure of arc AC?
a)
150°
b)
100°
c)
210°
d)
105°
99.
Solve for x.
a)
5
b)
20
c)
40
d)
85
100.
Solve for x.
a)
x = 6.45
b)
x = 8
c)
x = 12.6
d)
x = 7
101.
Solve for x.
a)
x = 11
b)
x = 6
c)
x = 8
d)
x = 9
102.
a)
a
b)
b
c)
c
d)
d
103.
What equation can be used to solve for x?
a)
Sin(40°)= x/40
b)
Sin(40º)=x/19
c)
Cos(40º)=x/19
d)
Tan(40°)=19/x
104.
Find x round to the nearest tenth.
a)
46.1
b)
4.9
c)
16.4
d)
26.9
105.
Solve for x. Round to the nearest tenth.
a)
103.5
b)
4.7
c)
55.0
d)
23.4
106.
Solve for x. Round to the nearest tenth.
a)
9.8
b)
0.1
c)
0.038
d)
9.9
107.
a)
14/48
b)
48/50
c)
14/50
d)
48/14
108.
a)
18/30
b)
24/30
c)
18/24
d)
24/18
109.
Find the measurement of the missing side indicated
a)
4.39
b)
3.21
c)
2.19
d)
2.05
110.
Find BC. Round to the nearest hundredth
a)
12.02
b)
42.5
c)
12
111.
Find AB. Round to the nearest hundredth
a)
19.95
b)
47
c)
25.59
d)
21
112.
Find AB. Round to the nearest hundredth.
a)
12
b)
11.58
c)
27.65
d)
9.85
113.
Find AC. Round to the nearest hundredth.
a)
7.29
b)
8.73
c)
21
d)
6.52
114.
tan 51
a)
1.2349
b)
.9030
c)
.9
d)
1.23
115.
cos 87
a)
.05
b)
.569
c)
.0523
d)
.5700
116.
cos 39
a)
.78
b)
.7771
c)
.768
d)
.7766
117.
sin 8
a)
.2011
b)
.1987
c)
.3456
d)
.1391
118.
What is the correct ratio?
a)
sin 40 = w/28
b)
cos 40 = w/28
c)
tan 40 = w/28
d)
sin 40 = 28/w
119.
If you are given the two sides that are not the hypotenuse, which trig function should you use?
a)
sine
b)
cosine
c)
tangent
d)
cotangent
120.
If you are given the opposite side and hypotenuse, which trig function should you use?
a)
sine
b)
cosine
c)
tangent
d)
cotangent
121.
Tangent ratio represent
a)
Opp/Hyp
b)
Adj/Hyp
c)
Opp/Adj
122.
Cosine ratio represent
a)
O/H
b)
A/H
c)
O/A
123.
Which ratio would you use to solve for x?
a)
Sine ratio
b)
Cosine ratio
c)
Tangent ratio
124.
Which ratio would you use to solve for x?
a)
Sine Ratio
b)
Cosine Ratio
c)
Tangent Ratio
125.
Which ratio would you use to solve for x?
a)
Sine ratio
b)
Cosine ratio
c)
Tangent ratio
126.
We can use SOH-CAH-TOA for...
a)
Any triangle ever
b)
Non-right triangles only
c)
Right Triangles only
d)
Never
127.
Sine ratio represents
a)
opposite leg/hypotenuse
b)
adjacent leg/hypotenuse
c)
opposite leg/adjacent leg
128.
a)
24/32
b)
32/24
c)
32/40
d)
24/40
129.
a)
14/48
b)
48/50
c)
14/50
d)
48/14
130.
What is the ratio for Cosine?
a)
Opp/Hyp
b)
Opp/Adj
c)
Adj/Opp
d)
Adj/Hyp
131.
What is the correct ratio?
a)
9/41
b)
40/41
c)
9/40
d)
40/9
132.
What is the correct ratio?
a)
5/3
b)
3/5
c)
3/4
d)
4/3
133.
What is the ratio for Tangent
a)
Opp/Adj
b)
Adj/Opp
c)
Opp/Hyp
d)
Hyp/Opp
134.
Find the trig value rounded to the nearest ten-thousandth.
Tan(42°)
Tan(42°)
a)
.9004
b)
.8123
c)
88.6361
d)
42
135.
Using your calculator, find cos 25° to the nearest hundredth.
a)
0.9
b)
0.91
c)
0.42
d)
0.99
136.
tan(19˚) =
a)
0.326
b)
0.344
c)
0.946
137.
sin(30˚) =
a)
0.500
b)
0.577
c)
0.866
138.
In the equation (x-3)2+(y-2)2=16, the center of the circle is...
a)
(3,2)
b)
(-3, -2)
c)
(-2, -3)
d)
(2, 3)
139.
In the equation (x+2)2+(y-3)2=4, the radius of the circle is...
a)
4
b)
2
c)
3
d)
16
140.
In the equation (x-4)2+(x-3)2=25, the center of the circle is at...
a)
(-3, -4)
b)
(4, 3)
c)
(-4, -3)
d)
(3, 4)
141.
Write the standard equation of the circle with the given center and radius; center (0,0) and radius: 3
a)
x2+y2=3
b)
x2+y2=6
c)
x2+y2=9
142.
Which graph corresponds to
(x)2+ (y-6)2=9
(x)2+ (y-6)2=9
a)
A
b)
B
c)
C
d)
D
143.
The diameter of a circle has length 12. The center is at (-5, 2). Give the equation of the circle.
a)
(x - 2)2 + (y + 5)2 = 36
b)
(x - 5)2 + (y + 2)2 = 6
c)
(x + 5)2 + (y - 2)2 = 36
d)
(x + 2)2 + (y - 5)2 = 6
144.
Which graph corresponds to
(x-4)2+ (y+4)2=25
a)
A
b)
B
c)
C
d)
D
145.
Which graph corresponds to
(x+2)2+ (y-3)2=36
a)
A
b)
B
c)
C
d)
D
146.
In order to convert from general form to center-radius form, you must ___________.
a)
Multiply out
b)
expand
c)
factor
d)
complete the square
147.
How can we find the general form of a circle?
a)
divide out the center-radius form
b)
multiply out the center-radius form
c)
factor out the center-radius form
d)
add up the center-radius form
148.
What is the radius of the given circle:
x²+y²-10x+8y-23=0?
x²+y²-10x+8y-23=0?
a)
4
b)
2
c)
8
149.
Determine the center and radius: x2 + y2 + 14x - 2y = -1
a)
center= (-7,2) radius= 3
b)
center= (-7,1) radius= 7
c)
center= (-4,1) radius= 5
150.
Determine the equation of the circle in standard form: x2 + y2 + 6x - 12y + 20 = 0
a)
(x-3)2 + (y+6)2 = 25
b)
(x+3)2 + (y-6)2 = 25
c)
(x-3)2 + (y+6)2 = 45
d)
(x+3)2 + (y-6)2 = 5
151.
Determine the equation of the circle in standard form:
x² + y² + 4x + 6y - 36 = 0
x² + y² + 4x + 6y - 36 = 0
a)
(x+2)2 + (y+3)2 = 49
b)
(x+2)2 + (y+3)2 = 13
c)
(x-2)2 + (y-3)2 = 49
d)
(x-2)2 + (y-3)2 = 13
152.
Determine the equation of a circle with center (5,-3) and radius of 9
a)
x2+y2-10x+6y-47=4
b)
x2+y2-10x-6y-47=0
c)
2x2+y2+10x+6y-47=0
d)
x2+y2-10x+6y-47=0
153.
Which one is the easy way to remember trigonometric ratios?
a)
Sah Coh Toa
b)
Soh Cah Toa
c)
Soh Cah Tao
d)
Soh Ceh Toa
154.
From ∠C, what side is AB?
a)
Adjacent
b)
Hypotenuse
c)
Opposite
155.
If you are given the two sides that are not the hypotenuse, which trig function should you use?
a)
sine
b)
cosine
c)
tangent
156.
If you are given the opposite side and hypotenuse, which trig function should you use?
a)
sine
b)
cosine
c)
tangent
157.
If you are given the hypotenuse and an adjacent side, which trig function should you use?
a)
sine
b)
cosine
c)
tangent
158.
a)
A
b)
B
c)
C
d)
D
159.
a)
A
b)
B
c)
C
d)
D
160.
a)
A
b)
B
c)
C
d)
D
161.
Find Cos(A) as a decimal rounded the the nearest ten-thousandth.
a)
.4706
b)
1.875
c)
.8824
d)
.5333
162.
Solve for x. Round to the nearest tenth.
a)
44.0
b)
41.4
c)
1.2
d)
1.0
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