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Worksheets

Circles High School

Total questions: 64

Worksheet time: 4hrs 17mins

Name
Class
Date
1.
a)
A
b)
B
c)
C
d)
D
2.
a)
F
b)
G
c)
H
d)
J
3.
a)
A
b)
B
c)
C
d)
D
4.
a)
A
b)
B
c)
C
d)
D
5.
a)
A
b)
B
c)
C
d)
D
6.
What is the m∠HIJ?
a)
108
b)
216
c)
54
d)
60
7.
What is the measure of arc DC?
a)
140
b)
98
c)
122
d)
61
8.
a)
A
b)
B
c)
C
d)
D
9.
What is the measure of arc KL?
a)
108
b)
106
c)
110
d)
112
10.
What is the measure of angle DEF?
a)
72
b)
73
c)
74
d)
75
11.
What is the measure of arc AB?
a)
140
b)
142
c)
180
d)
153
12.
What is the measure of arc WYZ?
a)
231
b)
255
c)
168
d)
200
13.
Which is the correct way to solve this?
a)
x=(360-110)/2
b)
x=110/2
c)
x=(250-110)/2
d)
x=(250+110)/2
14.
a)

A

b)

B

c)

C

d)

D

15.
Find the measure of arc AB.
a)
17
b)
34
c)
68
d)
146
16.

Find the missing angle.

a)

160°

b)

80°

c)

40°

d)

50°

17.
What is line segment AB?
a)
External Segment
b)
Diameter
c)
Radius
d)
Chord
18.
If the measure of arc ABC = 210°, what is the measure of ∠AOC?
a)
150°
b)
100°
c)
210°
d)
105°
19.
Solve for x. 
a)
5
b)
20
c)
40
d)
85
20.
Find the measure of arc JH
a)
93
b)
130
c)
120
d)
95
21.

Find the measure of the indicated angle.

a)

42

b)

51

c)

36

d)

45

22.

What is x?

a)

180

b)

14

c)

55

d)

12

23.
How many degrees are in a circle?
a)
90
b)
180
c)
270
d)
360
24.
Which best describes segment AB?
a)
parallel
b)
radius
c)
tangent
d)
diameter
25.
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.
26.
Which words describe two circles with the same radius?
a)
Similar Circles
b)
Concentric Circles
c)
Congruent Circles
d)
Semicircle
27.
A ____ angle is an angle whose vertex is a the center of a circle.
a)
supplementary
b)
complimentary
c)
central
d)
obtuse
28.
What units are used for arc measures?
a)
linear units (inches, meters)
b)
degrees
c)
square units
d)
triangle units
29.
Which segment is the diameter?
a)
AC
b)
BD
c)
LM
d)
CE
30.
Which segment is a radius?
a)
LM
b)
DC
c)
BD
d)
ML
31.
Find the measure of arc JH
a)
93
b)
130
c)
120
d)
95
32.
If the measure of arc ABC = 210°, what is the measure of ∠AOC?
a)
150°
b)
100°
c)
210°
d)
105°
33.
What is the measure of ∠PTQ?
a)
100°
b)
140°
c)
180°
d)
120°
34.

Give an example of a chord

a)

line HI

b)

line KL

c)

line GH

d)

line GJ

35.

Give an example of a major arc

a)

arc JH

b)

arc HI

c)

arc JLH

d)

arc JL

36.
Find x
a)
10
b)
5
c)
18
d)
9
37.
A(n) _____ to a circle is a line, ray or segment in the plane of the circle that intersects the circle in exactly one point.
a)
tangent
b)
secant
c)
radius
d)
arc
38.
Find x. Assume that segments that appear to be tangent are tangent.
a)
11.2
b)
18.0
c)
25.0
d)
30.0
39.
Find x. Assume that segments that appear to be tangent are tangent.
a)
2
b)
11
c)
7.6
d)
9
40.
Who was the first Disney Princess?
a)
Snow White
b)
Cinderella
c)
Sleeping Beauty 
d)
Ariel 
41.
What's the newest Disney Movie?
a)
Moana
b)
Big Hero 6
c)
Finding Dory
d)
Zootopia
42.
What Disney Character is this?
a)
Vanilla
b)
Gus
c)
Bucky
d)
Two bit
43.
Solve for the missing arc
a)
32o
b)
64o
c)
16o
d)
84o
44.
solve for the missing angle
a)
45o
b)
90o
c)
22.5o
d)
128o
45.
Find the measure of arc AB.
a)
17
b)
34
c)
68
d)
146
46.
a)
A
b)
B
c)
C
d)
D
47.
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.
48.
What is the measure of arc AB?
a)
140
b)
142
c)
180
d)
153
49.
What is the measure of arc WYZ?
a)
231
b)
255
c)
168
d)
200
50.
Name a major arc.
a)
ABD
b)
BDA
c)
BCD
d)
DA
51.

What is the correct value for x?

a)

225o

b)

135o

c)

75o

d)

100o

52.

AD and CG are diameters of Circle B, how would you classify arc GCF?

a)

Minor Arc

b)

Major arc

c)

Semi-Circle

d)

Full circle

53.

The Death Star is believed to have had a diameter of around 150 km. What is the radius of the Death Star?

a)

300 km.

b)

75 km.

c)

22,500 km.

d)

150 km.

54.
a)
70
b)
180
c)
290
d)
110
55.
Which best describes line AB?
a)
chord
b)
secant
c)
tangent
d)
diameter
56.
Find the value of x.
a)
15
b)
13
c)
3
d)
6
57.
Find the value of x.
a)
10
b)
181
c)
34
d)
40
58.
a)
A
b)
B
c)
C
d)
D
59.
a)

A

b)

B

c)

C

d)

D

60.
An angle in a circle with vertex on the circle itself
a)
Angle
b)
Central angle
c)
Inscribed angle
d)
Chord
61.
If the circumference of a circle is 22 π ft, what is the radius?
a)
22 ft
b)
11ft
c)
π ft
d)
no ft
62.
If the circumference of a circle is 22π , what is the diameter?
a)
22 ft
b)
11 ft
c)
π ft
d)
0 ft
63.
Find the angle for Porter. 
a)
144 degress
b)
111 degrees
c)
40 degrees
d)
72 degrees
64.
An angle in a circle measures 72 degrees. What percent of people chose that category?
a)
20%
b)
2%
c)
259%
d)
None of these