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Worksheets

Circles: Angles and Arcs

Total questions: 52

Worksheet time: 3hrs 0mins

Name
Class
Date
1.
What is the measure of arc AB?
a)
140
b)
142
c)
180
d)
153
2.
What is the measure of arc WYZ?
a)
231
b)
255
c)
168
d)
200
3.
What is the measure of arc PQ?
a)
47
b)
57
c)
67
d)
77
4.
What is the measure of arc KL?
a)
108
b)
106
c)
110
d)
112
5.
What best describes segment AB?
a)
chord
b)
secant
c)
tangent
d)
diameter
6.
Which best describes segment AB?
a)
chord
b)
secant
c)
tangent
d)
diameter
7.
Which best describes line AB?
a)
chord
b)
secant
c)
tangent
d)
diameter
8.
Which best describes line AB?
a)
chord
b)
secant
c)
tangent
d)
diameter
9.
Solve for the missing angle.
a)
45o
b)
90o
c)
22.5o
d)
128o
10.
Find the measure of arc AB.
a)
17
b)
34
c)
68
d)
146
11.
Find the measure of the indicated angle.
a)
42


b)
51
c)
36
d)
45
12.
a)
A
b)
B
c)
C
d)
D
13.
What is the value of x?
a)
11
b)
88
c)
44
d)
22
14.
What is the value of y?
a)
27
b)
54
c)
108
d)
540
15.
What is the value of w?
a)
52
b)
104
c)
76
d)
108
16.
What is the value of x?
a)
75
b)
90
c)
150
d)
180
17.
What is the value of w?
a)
75
b)
105
c)
150
d)
210
18.
Find the measure of angle ABD.
a)
14
b)
51
c)
37
d)
65
19.
What is the measure of angle 2?
a)
80
b)
45
c)
125
d)
40
20.
Solve for x.
a)
10
b)
85
c)
170
d)
180
21.
a)
240
b)
230
c)
205
d)
255
22.

What is x?

a)

15

b)

23

c)

2

d)

92

23.
Find m∠PRQ.
a)
39°
b)
90°
c)
51°
d)
15°
24.
What is the m∠U?
a)
38
b)
19
c)
76
d)
90
25.
What is the measure of arc DC?
a)
140
b)
98
c)
122
d)
61
26.
Find the measure of arc JH
a)
93
b)
130
c)
120
d)
95
27.
To find an angle outside the circle you use which of the following.
a)
(1/2)arc
b)
(1/2)(arc+arc)
c)
(1/2)(arc-arc)
d)
I don't know
28.
a)
A
b)
B
c)
C
d)
D
29.
What is the measure of arc NM?
a)
116
b)
117
c)
118
d)
119
30.
What is the measure of angle ABC?
a)
90
b)
180
c)
45
d)
80
31.

Name the pictured part of the circle.

a)

Radius

b)

Central Angle

c)

Sector

d)

Center

e)

Arc

32.

Name the pictured part of the circle.

a)

Radius

b)

Central Angle

c)

Sector

d)

Center

e)

Arc

33.

Name the pictured part of the circle.

a)

Radius

b)

Central Angle

c)

Sector

d)

Center

e)

Arc

34.

Name the pictured part of the circle.

a)

Center

b)

Sector

c)

Radius

d)

Central Angle

e)

Arc

35.

Name the pictured part of the circle.

a)

Diameter

b)

Sector

c)

Radius

d)

Central Angle

e)

Arc

36.

Name the pictured part of the circle.

a)

Diameter

b)

Sector

c)

Radius

d)

Central Angle

e)

Arc

37.

Name the pictured part of the circle.

a)

Diameter

b)

Sector

c)

Radius

d)

Chord

e)

Arc

38.

Name the pictured part of the circle.

a)

Diameter

b)

Sector

c)

Radius

d)

Chord

e)

Semicircle

39.

What is the line that goes from the center of a circle to any point on the circle?

a)

Diameter

b)

Circumference

c)

Chord

d)

Radius

40.

What is a straight line that goes through the center of a circle from side to opposite side?

a)

Diameter

b)

Circumference

c)

Radius

d)

Center

41.

What is the measurement around the outside of a circle called?

a)

Diameter

b)

Circumference

c)

Radius

d)

Center

42.

Which is the center?

a)

K

b)

H

c)

JI\overline{JI}

d)

I

43.

What is  JIH\angle JIH  ?

a)

Central Angle

b)

Point of Tangency

c)

Inscribed Angle

d)

Right Angle

44.

Which is a chord?

a)

 KL\overline{KL}  

b)

 HG\overline{HG}  

c)

 GI\overline{GI}  

d)

 JL\overline{JL}  

45.

What is  JHIJHI  ?

a)

Minor Arc

b)

Semicircle

c)

Major Arc

d)

Point of Tangency 

46.

Which is secant?

a)

 GI\overline{GI}  

b)

 GJ\overline{GJ}  

c)

 JKL\angle JKL  

d)

 JK\overline{JK}   

47.

Which is a point of tangency?

a)

K

b)

L

c)

H

d)

J  

48.

What is  JHJH  ?

a)

Chord

b)

Minor Arc 

c)

Major Arc

d)

Semicircle  

49.

Which is a Major Arc ?

a)

 KIHKIH  

b)

 JLJL  

c)

 LHJLHJ  

d)

 HIHI  

50.

What is  JI\overline{JI}   ?

a)

Radius

b)

Diameter

c)

Central Angle

d)

Tangent

51.

Which is a central angle?

a)

 JKL\angle JKL  

b)

 JIH\angle JIH  

c)

 JGI\angle JGI  

d)

 JLK\angle JLK  

52.

What is  JK\overline{JK}  ?

a)

Chord

b)

Diameter

c)

Secant

d)

Radius