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Worksheets

Circle

Total questions: 181

Worksheet time: 4hrs 12mins

Name
Class
Date
1.
Is the red line a radius or diameter of the circle?
a)
Radius
b)
Diameter
2.
What is the diameter?
a)
8
b)
16
c)
10
d)
4
3.
What is the radius?
a)
18
b)
72
c)
38
d)
14
4.
What is the diameter?
a)
5 in
b)
10 in
c)
3.14 in
d)
15.84 in
5.
Is the red line a radius or diameter of the circle?
a)
Radius
b)
Diameter
6.
Is the red line a radius or diameter of the circle?
a)
Radius
b)
Diameter
7.
The distance from the center of the circle to any point on the circle is called the...
a)
radius
b)
diameter
c)
circumference
d)
area
8.
The distance all the way across the circle, but through the center, is called the...
a)
radius
b)
diameter
c)
circumference
d)
area
9.
A diameter is also a chord. 
a)
True
b)
False 
10.
A line segment connecting any two points on a circle is called a _____________. 
a)
diameter
b)
chord
c)
radius
d)
circumference 
11.
What is segment AB?
a)
diameter
b)
center
c)
circumference
d)
radius
12.
What is segment CB?
a)
diameter
b)
center
c)
circumference
d)
radius
13.
What is segment DB?
a)
diameter
b)
center
c)
chord
d)
radius
14.
What is the curved line between points A & D?
a)
central angle
b)
arc
c)
chord
d)
radius
15.
Which line segment is half the length of the diameter AD?
a)
BD
b)
BC
c)
AE
d)
DA
16.

From the center of this CD to the edge of the CD is 4 inches. How far is the distance all the way across the CD?

a)

16 in

b)

8 in

c)

12 in

d)

2 in

17.

Swimming from one side of this pool through the center to the other side is 12 feet. What is the radius of this pool?

a)

32 ft

b)

6 ft

c)

4 ft

d)

12 ft

18.

Name the part shown in the given circle.

a)

Radius

b)

Tangent

c)

Circumference

d)

Segment

19.

Name the part shown in the given circle.

a)

Segment

b)

Sector

c)

Diameter

d)

Radius

20.

Name the part shown in the given circle.

a)

Sector

b)

Chord

c)

Segment

d)

Circumference

21.

Name the part shown in the given circle.

a)

Diameter

b)

Segment

c)

Circumference

d)

Radius

22.

Name the part shown in the given circle.

a)

Chord

b)

Radius

c)

Tangent

d)

Segment

23.

Name the part shown in the given circle.

a)

Radius

b)

Chord

c)

Circumference

d)

Diameter

24.

Name the part shown in the given circle.

a)

Circumference

b)

Tangent

c)

Sector

d)

Radius

25.

What is the formula for the area of a circle?

a)

2 π r

b)

π d

c)

π d2

d)

π r2

26.

What is the formula for the perimeter of a circle? Select all that apply.

a)

2 π r

b)

π d

c)

π d2

d)

π r2

27.

What is the area of a circle with a diameter of 12 inches?

a)

12 π in2

b)

24 π in2

c)

36 π in2

d)

144 π in2

28.

What is line CB called?

a)

Circumference

b)

Diameter

c)

Radius

d)

Chord

29.

What is the distance around the outside of the circle called?

a)

Area

b)

Diameter

c)

Circumference

d)

Chord

30.

Which part of the circle is represented in the image?

a)

diameter

b)

radius

c)

circumference

31.

Which part of the circle is represented in the picture?

a)

diameter

b)

radius

c)

circumference

32.

Which part of the circle is represented in the picture?

a)

diameter

b)

radius

c)

circumference

33.

The radius of a circle is 2 times bigger than the diameter.

a)

True

b)

False

34.

The diameter of a circle is twice the size of the radius.

a)

True

b)

False

35.

A line segment from the center of a circle to any point on the circle is called the:

a)

diameter

b)

radius

c)

circumference

36.

A segment with its endpoints on the circle that passes through the center is the:

a)

diameter

b)

radius

c)

circumference

37.

The length around a circle is called the:

a)

diameter

b)

radius

c)

circumference

38.

What is the measure of the radius of the circle?

(a)  

39.

What is the measure of the diameter of the circle?

(a)  

40.

What is the measure of the radius of the circle?

(a)  

41.

What is the measure of the diameter of the circle?

(a)  

42.

What is the measure of the radius of the circle?

(a)  

43.

What is the measure of the diameter of the circle?

(a)  

44.

What is the measure of the radius of the circle?

(a)  

45.

What is the measure of the diameter of the circle?

(a)  

46.

The minute hand on a clock represents which part of a circle?

a)

diameter

b)

radius

c)

circumference

47.

Which part of the circle is represented in the picture?

a)

diameter

b)

radius

c)

circumference

48.

Which part of the circle is represented in the picture?

a)

diameter

b)

radius

c)

circumference

49.

How do you feel about being able to identify the different parts of a circle? ( 1= don't feel confident at all, and 5= I could teach someone how to identify the parts of a circle)

a)

1

b)

2

c)

3

d)

4

e)

5

50.
Is the red line a radius or diameter of the circle?
a)
Radius
b)
Diameter
51.
What is the diameter?
a)
8
b)
16
c)
10
d)
4
52.
What is the radius?
a)
18
b)
72
c)
38
d)
14
53.
What is the diameter?
a)
5 in
b)
10 in
c)
3.14 in
d)
15.84 in
54.
Is the red line a radius or diameter of the circle?
a)
Radius
b)
Diameter
55.
The distance from the center of the circle to any point on the circle is called the...
a)
radius
b)
diameter
c)
circumference
d)
area
56.
The distance all the way across the circle, but through the center, is called the...
a)
radius
b)
diameter
c)
circumference
d)
area
57.
What does "circumference" mean?
a)
Space a circle takes up
b)
Distance around a circle
c)
Line from one side of a circle to another
d)
Line from center of circle to side
58.
Is the red line a radius or diameter of the circle?
a)
Radius
b)
Diameter
59.
What is segment AB?
a)
diameter
b)
center
c)
circumference
d)
radius
60.
What is segment CB?
a)
diameter
b)
center
c)
circumference
d)
radius
61.

What is line CB called?

a)

Circumference

b)

Diameter

c)

Radius

d)

Chord

62.

What is line AD called?

a)

Area

b)

Circumference

c)

Radius

d)

Diameter

63.

What is the distance around the outside of the circle called?

a)

Area

b)

Diameter

c)

Circumference

d)

Chord

64.

What is this symbol called?

a)

pi

b)

sigma

c)

radius

d)

omega

65.

What is the approximate numerical value of this sign?

a)

3.11

b)

3.14

c)

4.13

d)

6.28

66.

What is the name for the part of the circle labeled by the letter A? (It is the distance from the center of the circle to the "edge").

a)

radius

b)

diameter

c)

circumference

d)

center

67.

What is the name for the part of the circle labeled by the letter C? (It is the line that divides the circle in half)

a)

radius

b)

diameter

c)

circumference

d)

center

68.

What is the name for the part of the circle labeled by the letter B? (It is the midpoint of the circle)

a)

radius

b)

diameter

c)

circumference

d)

center

69.

What is the name for the part of the circle labeled by the letter D? (It is the distance around the circle)

a)

radius

b)

diameter

c)

circumference

d)

center

70.

What is the formula to find the length of the diameter of a circle given the radius?

a)

d=12rd=\frac{1}{2}r

b)

d=2rd=2r

c)

d=Cπd=\frac{C}{\pi}

d)

d=πr2d=\pi r^2

71.

Which of the following is the formula to find the circumference of a circle?

a)

C=dπC=\frac{d}{\pi}

b)

C=πr2C=\pi r^2

c)

C=πdC=\pi\cdot d

d)

C=12dC=\frac{1}{2}d

72.

Which of the following is NOT an approximate value for pi ( π\pi )? 

a)

3.143.14  

b)

227\frac{22}{7}  

c)

3.293.29  

73.

Find the circumference of the circle shown. Use 3.14 for π\pi  


a)

69.08 ft.

b)

34.54 ft.

c)

379.94 ft.

d)

187.53 ft.

74.

Find the circumference of the circle shown. Use 3.14 for π\pi


a)

12.56 km.

b)

25.12 km.

c)

6.28 km.

d)

4 km.

75.

Find the circumference of the circle shown. Use 3.14 for π\pi


a)

43.96 yd

b)

21.98 yd

c)

153.86 yd

d)

14 yd

76.

Find the circumference of the circle shown. Use 3.14 for π\pi


a)

12.56 m

b)

25.12 m

c)

6.28 m

d)

8 m

77.

A circle has a diameter of 6.5 inches. What is the circumference of the circle? Use 3.14 for π\pi  


a)

20.41 in.

b)

10.205 in.

c)

3.25 in.

d)

13.56 in.

78.

The approximate circumference of a circle is 47.1 cm. Use 3.14 for π\pi to find the length of the diameter of the circle. 


a)

15 cm.

b)

7.5 cm.

c)

30 cm.

d)

12 cm.

79.

Find the circumference of the circle shown. Use 3.14 for π\pi


a)

73.476 in.

b)

36.738 in.

c)

55.107 in.

d)

11.7 in.

80.

Find the value of the angle marked x....

a)

90

b)

43

c)

47

d)

53

81.
Which number best represents a central angle?
a)
1
b)
2
c)
5
d)
9
82.
Determine the measure of arc KL
a)
268
b)
92
c)
88
d)
272
83.
Find the measure of arc JH
a)
93
b)
130
c)
120
d)
95
84.
Find the measure of <XTY
a)
65
b)
98
c)
70
d)
52
85.

What is the relationship between a central angle and its arc?

a)

The angle is half of the arc.

b)

The arc is half of the angle.

c)

The arc is smaller than the angle.

d)

They are congruent.

86.
Name a minor arc
a)
AD
b)
ADB
c)
AB
d)
CD
87.
What is the measure of arc AB?
a)
140
b)
142
c)
180
d)
153
88.
What is the measure of arc WYZ?
a)
231
b)
255
c)
168
d)
200
89.
a)
x = 160
b)
x = 40
c)
x = 80
d)
x = 360
90.
What is the measure of ∠PTQ?
a)
100°
b)
140°
c)
180°
d)
120°
91.
Solve for x. 
a)
5
b)
20
c)
40
d)
85
92.
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.
93.
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.
94.
What is the measure of arc AD?
a)
38
b)
142
c)
180
d)
153
95.

What is the measure of arc GE?

a)

150°150\degree  

b)

140°140\degree  

c)

190°190\degree  

d)

180°180\degree  

96.
Solve for the missing angle.
a)
45o
b)
90o
c)
22.5o
d)
128o
97.
Find x.  Assume that segments that appear to be   tangent are tangent.
a)
2
b)
11
c)
7.6
d)
9
98.
Find x
a)
10
b)
5
c)
18
d)
9
99.

Solve for x.

a)

25

b)

30.25

c)

7

d)

38

100.
Find the perimeter of the triangle.
a)
A
b)
B
c)
C
d)
D
101.

Find the value of x.

a)

10

b)

11

c)

12

d)

13

102.

Find the value of x.

a)

9.8

b)

6.3

c)

12.6

d)

4.9

103.

Find the value of x. 14 and 18 represent the entire length of the chords

a)

√512

b)

√32

c)

i√32

d)

√128

104.
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.
105.
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.
106.
Name a minor arc
a)
AD
b)
ADB
c)
AB
d)
CD
107.
Name a major arc.
a)
ABD
b)
BDA
c)
BCD
d)
DA
108.
What is the measure of arc AD?
a)
38
b)
142
c)
180
d)
153
109.
What is the measure of arc AB?
a)
140
b)
142
c)
180
d)
153
110.
a)
x = 160
b)
x = 40
c)
x = 80
d)
x = 360
111.
What is the measure of arc AXB
a)
50
b)
100
c)
180
d)
260
112.
What is the measure of arc AYB
a)
50
b)
100
c)
180
d)
260
113.
What is the measure of ∠PTQ?
a)
100°
b)
140°
c)
180°
d)
120°
114.
If the measure of arc ABC = 210°, what is the measure of arc AC?
a)
150°
b)
100°
c)
210°
d)
105°
115.
Solve for x. 
a)
5
b)
20
c)
40
d)
85
116.
Solve for x.
a)
x = 6.45
b)
x = 8
c)
x = 12.6
d)
x = 7
117.
Solve for x.
a)
x = 11
b)
x = 6
c)
x = 8
d)
x = 9
118.
a)
a
b)
b
c)
c
d)
d
119.

What is the circle's radius?

a)

5 cm

b)

10 cm

c)

20 cm

120.

What is the circle's diameter?

a)

5 cm

b)

10 cm

c)

20 cm

121.

What is the circle's radius?

a)

3 m

b)

6 m

c)

12 m

122.

What is the circle's diameter?

a)

3 m

b)

6 m

c)

12 m

123.

What is the circle's radius?

a)

5 in

b)

10 in

c)

20 in

124.

What is the circle's diameter?

a)

5 in

b)

10 in

c)

20 in

125.

What is the circle's radius?

a)

6 ft

b)

12 ft

c)

24 ft

126.

What is the circle's diameter?

a)

6 ft

b)

12 ft

c)

24 ft

127.
Alex has trained his puppy, Popper, to jump through a ring. According to Alex's measurements and calculations, the ring has a diameter of 3.5 feet. What is the ring's circumference (use 3.14 for pi)?
a)
11.32 ft
b)
12.25 ft
c)
10.99 ft
d)
8.75 ft
128.
The radius of a circle is
a)
The measurement from the center of a circle to an edge of the circle.
b)
The measurement around the circle
c)
The measurement from and edge of the circle to another edge through the center
d)
A line perpendicular to the diameter of the circle
129.
The diameter of a circle is:
a)
The measurement around the circle.
b)
The distance from an edge of a circle to another edge.
c)
The distance from the center of the circle to an edge of a circle
d)
The distance from an edge of a circle to another edge through the center. 
130.
What is the diameter?
a)
8
b)
16
c)
10
d)
4
131.
What is the radius?
a)
18
b)
72
c)
38
d)
14
132.
Is the red line a radius or diameter of the circle?
a)
Radius
b)
Diameter
133.
What does "circumference" mean?
a)
Space a circle takes up
b)
Distance around a circle
c)
Line from one side of a circle to another
d)
Line from center of circle to side
134.
Steven purchases a bowl. The diameter of the bowl is 14 cm. What is the circumference of the bowl?
a)
28 cm
b)
43.96 cm
c)
87.96 cm
d)
7 cm
135.
Find the circumference of a circle with a radius of 13.5 mm.
a)
37.68mm
b)
18.84mm
c)
84.78 mm
d)
none of the above
136.
Determine the radius of the penny
a)
59.66 mm
b)
9.5 mm
c)
38 mm
d)
119.32 mm
137.
Alex has trained his puppy, Popper, to jump through a ring. According to Alex's measurements and calculations, the ring has a diameter of 3.5 feet. What is the ring's circumference (use 3.14 for pi)?
a)
11.32 ft
b)
12.25 ft
c)
10.99 ft
d)
8.75 ft
138.

The homeowners association wants to enclose the playground in a fence. So they need to figure out how much fencing will they need to purchase. Is this question finding the area or the circumference of a circle?

a)

area

b)

circumference

c)

neither

139.

What number is pi?

a)

1.41

b)

2.00

c)

3.14

d)

5.14

140.

What two formulas can you use to find the circumference?

a)

C = π·d

b)

C = π·r2

c)

C = 2·π·r

d)

C = d2

141.
Which of the following is a radius of the circle?
a)
DA
b)
GE
c)
HI
d)
FG
142.

If you divide the circumference of a circle by its diameter, what answer will you always get?

a)

The radius

b)

The area

c)

Pi

d)

cake

143.

To find the circumference of a circle, you must multiply the ________________ by 3.14.

a)

circumference

b)

area

c)

radius

d)

diameter

144.
To go from radius to diameter I need to do what?
a)
divide by 2
b)
multiply by 2
c)
multiply by 3.14
d)
divide by 3.14
145.
To go from diameter to radius, what do I need to do?
a)
divide by 3.14
b)
multiply by 3.14
c)
multiply by 2
d)
divide by 2
146.
a)
center
b)
diameter
c)
radius
147.
a)
center
b)
diameter
c)
radius
148.

What is shown here

a)

Diameter

b)

Radius

c)

Triangle

d)

i Π\Pi  

149.

What is the radius of this circle?

a)

6

b)

4

c)

3

d)

0

150.

what is the diameter of this circle?

a)

10

b)

5

c)

20

d)

50

151.

What is the radius of this circle?

a)

20

b)

5

c)

10

d)

40

152.

What is the diameter of the circle?

a)

5

b)

20

c)

2.5

d)

10

153.

What is being shown here?

a)

Radius

b)

Diameter

154.

What is shown here?

a)

Radius

b)

Diameter

155.

Which of these is the circumference formula?

a)

A= πr2\pi r^2  

b)

c=πdc=\pi d  

c)

A=πd2A=\pi d^2  

d)

c=πr2c=\pi r^2  

156.

What shape is this?

a)

square

b)

triangle

c)

rectangle

d)

circle

157.

What is the radius of this circle?

a)

13

b)

26

c)

6.5

d)

7

158.

The diameter is...

a)

twice the radius

b)

half the radius

c)

4 times the radius

d)

the radius squared

159.

The radius is.....

a)

twice the diameter

b)

half the diameter

c)

the diameter squared

d)

π\pi  

160.

The radius is 4. What is the diameter?

a)

2

b)

6

c)

8

d)

π\pi  

161.

The diameter is 6. What is the radius?

a)

12

b)

3

c)

π\pi  

d)

36

162.
The radius of a circle is
a)
The measurement from the center of a circle to an edge of the circle.
b)
The measurement around the circle
c)
The measurement from and edge of the circle to another edge through the center
d)
A line perpendicular to the diameter of the circle
163.
The diameter of a circle is:
a)
The measurement around the circle.
b)
The distance from an edge of a circle to another edge.
c)
The distance from the center of the circle to an edge of a circle
d)
The distance from an edge of a circle to another edge through the center. 
164.
What is the diameter?
a)
8
b)
16
c)
10
d)
4
165.
What is the radius?
a)
18
b)
72
c)
38
d)
14
166.
Is the red line a radius or diameter of the circle?
a)
Radius
b)
Diameter
167.
Is the red line a radius or diameter of the circle?
a)
Radius
b)
Diameter
168.
What does "circumference" mean?
a)
Space a circle takes up
b)
Distance around a circle
c)
Line from one side of a circle to another
d)
Line from center of circle to side
169.
True or False: An equation for Circumference is C = πr2
a)
True 
b)
False
170.
Steven purchases a bowl. The diameter of the bowl is 14 cm. What is the circumference of the bowl?
a)
28 cm
b)
43.96 cm
c)
87.96 cm
d)
7 cm
171.
Find the circumference of a circle with a radius of 13.5 mm.
a)
37.68mm
b)
18.84mm
c)
84.78 mm
d)
none of the above
172.
What is the circumference of a circle with a radius of 54 m?
a)
339.12 m
b)
169.56 m
c)
84.78 m 
173.
A cruise ship has a large, circular window. It has a diameter of 6 meters. What is the window's approximate circumference?
a)
3 m 
b)
9.42 m
c)
12 m
d)
18.84 m
174.
Determine the radius of the penny
a)
59.66 mm
b)
9.5 mm
c)
38 mm
d)
119.32 mm
175.
If my diameter is 19 inches, what is my radius?
a)
38 inches
b)
9.5 inches
c)
59.66 inches
d)
119.32 inches
176.
A circular swimming pool is 21 feet in diameter.
How many feet around is the pool?
a)
10.5 ft
b)
42 ft
c)
65.94 ft
d)
131.95 ft
177.
Find the circumference (to the nearest whole number)
a)
88 in
b)
44 in
c)
116 square in
d)
None of the above
178.
Alex has trained his puppy, Popper, to jump through a ring. According to Alex's measurements and calculations, the ring has a diameter of 3.5 feet. What is the ring's circumference (use 3.14 for pi)?
a)
11.32 ft
b)
12.25 ft
c)
10.99 ft
d)
8.75 ft
179.
Randy’s circular garden has a radius of 1.5 feet. He wants to enclose the garden edging that costs $0.75 per foot. About how much will the edging cost? 
a)
$8.00
b)
$7.00
c)
$3.50
d)
$0.50
180.
The homeowners association wants to enclose the playground in a fence. How much fencing will they need to purchase? Is this question finding the area or the circumference?
a)
area
b)
circumference
c)
neither
181.
Jayne has a very large circular lollipop that has a circumference of 25.12 inches. What would the diameter of Jayne’s lollipop be? Use π = 3.14.
a)
4 in.
b)
8 in.
c)
12 in.
d)
16 in.