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Worksheets

Circles Area and Circumference

Total questions: 128

Worksheet time: 9hrs 38mins

Name
Class
Date
1.
What is the diameter?
a)
8
b)
16
c)
10
d)
4
2.
A DVD has a diameter of 15 millimeters. Which equation would help you determine the circumference?
a)
c = 15π
b)
C = 2π15
c)
c = 15 ÷ π
d)
c = 15 π
3.
Is the red line a radius or diameter of the circle?
a)
Radius
b)
Diameter
4.
What is the diameter?
a)
8
b)
16
c)
10
d)
4
5.
Find the area of the circle
a)
43.96
b)
153.86
c)
87.82
d)
307.72
6.
What is the area of this circle?
a)
8322.13
b)
1134.11
c)
4536.46
d)
1267.09
7.
What is the area of this circle?
a)
1385.44
b)
2142.12
c)
5541.77
d)
1289.12
8.
What is the area of this circle?
a)
452.39
b)
139.12
c)
113.1
d)
84.23
9.
what is the area of this semicircle ?
a)
100.48cm2
b)
80cm2
c)
200.96cm2
d)
none of the above
10.
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.
11.
The radius is 8 inches.  What is the circumference?
a)
50.24 inches
b)
25.12 inches
c)
12.56 inches
d)
200.96 inches
12.
The radius is 8 inches.  What is the circumference?
a)
50.24 inches
b)
25.12 inches
c)
12.56 inches
d)
200.96 inches
13.
What is circumference?
a)
The distance around a circle.
b)
The space inside the circle.
c)
A line from side to side passing through the center.
d)
A line from the center to the side.
14.
What is circumference?
a)
The distance around a circle.
b)
The space inside the circle.
c)
A line from side to side passing through the center.
d)
A line from the center to the side.
15.
The circumference is 62.8 inches.  What is the radius?
a)
20 inches
b)
10 inches
c)
6.28 inches
d)
31.4 inches
16.
What is the area of a circle?
a)
The distance around a circle.
b)
The space inside the circle.
c)
A line from side to side passing through the center.
d)
A line from the center to the side.
17.
Find the area of the circle
a)
43.96
b)
153.86
c)
87.82
d)
307.72
18.
Find the circumference of the circle
a)
87.82
b)
153.86
c)
43.96
d)
307.72
19.
A circular pie has an area of 706.5 cm2. What is the radius of the pie?
a)
225 cm
b)
30 cm
c)
15 cm
d)
112.5 cm
20.
Ms. Merine calculated that her hoop earring has a diameter of 3.5 centimeters. What is the area of her earring (round to the hundreth's place)?
a)
9.25 cm2
b)
9.62 cm2
c)
9.15 cm2
d)
9.99 cm2
21.
a)
F  113.04 cm
b)
G  75.36 cm
c)
H  37.68 cm
d)
J  18.84 cm
22.
How do you find the radius?
a)
π*2
b)
d/2
c)
π*r
d)
I do not know
23.
What is π ? (Best Choice)
a)
The ratio of the circumference of any circle to its diameter.
b)
Exactly 3.14
c)
Exactly 3.1415
d)
Exactly 3.141593
24.
A Circle has a radius of 4.  What is the circumference of the circle? (Best Choice)
a)
4π or about 12.56
b)
16π or about 50.24
c)
2π or about 6.28
d)
8π or about 25.12
25.
A Circle has a radius of 4.  What is the circumference of the circle? (Best Choice)
a)
4π or about 12.56
b)
16π or about 50.24
c)
2π or about 6.28
d)
8π or about 25.12
26.
A Circle has a radius of 4.  What is the area of the circle? (Best Choice) (note: units are squared)
a)
4π or about 12.56
b)
16π or about 50.24
c)
2π or about 6.28
d)
8π or about 25.12
27.
A Circle has a radius of 6 inches.  What is the circumference of the circle? (Best Choice)
a)
3π or about 9.42 in
b)
6π or about 18.84 in
c)
12π or about 37.68 in
d)
36π or about 113.04 in 
28.
A Circle has a radius of 6 inches.  What is the area of the circle? (Best Choice)
a)
3π or about 9.42 in2
b)
6π or about 18.84 in2
c)
12π or about 37.68 in2
d)
36π or about 113.04 in2 
29.
A Circle has a diameter of 10 centimeters.  What is the circumference of the circle? (Best Choice)
a)
5π or about 15.7 cm
b)
10π or about 31.4 cm
c)
20π or about 62.8 cm
d)
100π or about 314 cm 
30.
A Circle has a diameter of 10 centimeters.  What is the area of the circle? (Best Choice)
a)
5π or about 15.7 cm2
b)
10π or about 31.4 cm2
c)
25π or about 78.5 cm2
d)
100π or about 314 cm2 
31.
A Circle has a diameter of 18 meters.  What is the circumference of the circle? (Best Choice)
a)
9π or about 28.26 m
b)
18π or about 56.52 m
c)
81π or about 254.34m
d)
324π or about 1017.36 m 
32.
A Circle has a radius of 12 inches.  What is the circumference of the circle? (Best Choice)
a)
24π or about 75.36 in
b)
12π or about 37.68 in
c)
144π or about 452.16 in
d)
576π or about 1,808.64 in 
33.
A Circle has a radius of 12 inches.  What is the area of the circle? (Best Choice)
a)
24π or about 75.36 in2
b)
12π or about 37.68 in2
c)
144π or about 452.16 in2
d)
576π or about 1,808.64 in2 
34.
A Circle has a diameter of 18 meters.  What is the area of the circle? (Best Choice)
a)
9π or about 28.26 m2
b)
18π or about 56.52 m2
c)
81π or about 254.34m2
d)
324π or about 1017.36 m2 
35.
A circular window has a diameter of 24 inches.  What is the area of the glass in the window ? (Best Choice)
a)
24π or about 75.36 in2
b)
12π or about 37.68 in2
c)
576π or about 1,808.64 in2
d)
144π or about 452.16 in2 
36.
A circular window has a diameter of 24 inches.  A piece of metal is to go around the window for a frame. How long does the metal need to be? (Best Choice)
a)
24π or about 75.36 in
b)
12π or about 37.68 
c)
576π or about 1,808.64 in
d)
144π or about 452.16 in 
37.
A center circle on a basketball court has a diameter of 12 feet.  How long is the line that wraps around the circle? (Best Choice)
a)
6π or about 18.84 ft
b)
12π or about 37.68 ft
c)
36π or about 113.04 ft
d)
144π or about 452.16 ft
38.
A center circle on a basketball court has a diameter of 12 feet.  What is the area of the circle? (Best Choice)
a)
6π or about 18.84 ft2
b)
12π or about 37.68 ft2
c)
36π or about 113.04 ft2
d)
144π or about 452.16 ft2
39.
A Circle has a radius of 10 meters.  What is the area of the circle? (Best Choice)
a)
5π or about 15.7 m2
b)
10π or about 31.4 m2
c)
20π or about 62.8 m2
d)
100π or about 314 m2 
40.
A flower pot has a radius of 8 inches.  What is the area of the (top of the) flower pot? (Best Choice)
a)
4π or about 12.56 in2
b)
8π or about 25.12 in2
c)
16π or about 50.24 in2
d)
64π or about 200.96 in2
41.

What is the area of a circle?

a)

The distance around a circle.

b)

The space inside the circle.

c)

The length of the straight line segment that passes through the center of the circle and whose endpoints lie on the circle.

d)

The line from the center of a circle to any point on its edge.

42.

The formula for the circumference of a circle is...

a)

C = πdC\ =\ \pi d

b)

C = πC\ =\ \pi

c)

C = πrC\ =\ \pi r

d)

C =πr2C\ =\pi r^2

43.

The formula for finding the area of a circle is...

a)

A = πdA\ =\ \pi d

b)

A = πA\ =\ \pi

c)

A =πrA\ =\pi r

d)

A =πr2A\ =\pi r^2

44.

What is the radius of this circle?

a)

18in

b)

36in

c)

9in

d)

6in

45.
Is the red line a radius or diameter of the circle?
a)
Radius
b)
Diameter
46.

Find the circumference of the circle

a)

87.82in

b)

153.86in

c)

43.96in

d)

307.72in

47.

Find the area of the circle

a)

43.96 units2

b)

153.86 units2

c)

87.82 units2

d)

307.72units2

48.

What is the area of this circle?

a)

452.39 cm2

b)

139.12 cm2

c)

113.1 cm2

d)

84.23 cm2

49.
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
50.
If my radius is 10ft, what is my diameter?
a)
20ft
b)
5ft
c)
31.4ft
d)
62.8ft
51.
what is the circumference of this circle ?
a)
3.14 cm 
b)
37.68 cm
c)
24 cm
d)
68.4 cm
52.
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
53.
What is the formula for finding the circumstance for a circle with just the radius?
a)
 2*π*r
b)
1/2 b*h
c)
a+b/2*h
d)
I do not know
54.
What is the formula for finding the circumstance of a circle with just the diameter?
a)
 π*d
b)
b*h
c)
l*w*h
d)
I do not know
55.
A cruise ship has a large, circular window. It has a diameter of 6 meters. What is the window's area?
a)
31.25 m2
b)
29.55 m2
c)
30.36 m2
d)
28.26 m2
56.
Is the red line a radius or diameter of the circle?
a)
Radius
b)
Diameter
57.
If you multiply ½ × d  then you will get the...
a)
radius
b)
diameter
c)
circumference
d)
area
58.
Does this picture show the diameter or radius of a circle?
a)
Diameter
b)
Radius
59.
Does this picture show the diameter or radius of a circle?
a)
Diameter
b)
Radius
60.
Find the area of the circle
a)
43.96
b)
153.86
c)
87.82
d)
307.72
61.
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
62.
Find the area of the circle
a)
56.52
b)
254.34
c)
1017.36
d)
113.04
63.
What is the area of this circle?
a)
6082.12
b)
1519.76
c)
1893.14
d)
1292.92
64.
What is the area of this circle?
a)
82.13
b)
78.5
c)
314.16
d)
170.12
65.
Find the circumference of a circle with a diameter of 11 millimeters.
a)
34.6 mm
b)
30 mm
c)
25.3 mm
d)
34.54 mm
66.
what is the area of a circle with the diameter of 16 cm ?
a)
66 cm
b)
200.96 cm
c)
66.5 cm
d)
10 m
67.
what is the area of a circle with the diameter of 16 cm ?
a)
66 cm
b)
200.96 cm
c)
66.5 cm
d)
10 m
68.
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
69.
Which segment is a radius?
a)
LM
b)
DC
c)
BD
d)
ML
70.
Which segment is the diameter?
a)
AC
b)
BD
c)
LM
d)
CE
71.
The _____ is the distance from the center to any point on the circle.
a)
diameter
b)
radius
c)
π
d)
center
72.
The distance across a circle through its center is called the _____.
a)
diameter
b)
radius
c)
π
d)
center
73.
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
74.
If my radius is 10ft, what is my diameter?
a)
20ft
b)
5ft
c)
31.4ft
d)
62.8ft
75.
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
76.
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
77.
What does area mean?
a)
the distance around a shape
b)
half the distance around a shape
c)
the amount of space outside a shape
d)
the amount of space inside a shape
78.

If the circumference of a circle is 69.08 ft, what is the DIAMETER?

a)

22 ft

b)

11 ft

c)

π ft

d)

0 ft

79.

If the circumference of a circle is 69.08 ft, what is the DIAMETER?

a)

22 ft

b)

11 ft

c)

π ft

d)

0 ft

80.

If the circumference of a circle is 138.16 ft, what is the RADIUS?

a)

22 ft

b)

11ft

c)

π ft

d)

no ft

81.

If r = 4, d = ?

a)

4

b)

2

c)

8

d)

82.

If the diameter of a circle is 4, what is the radius?

a)

4

b)

c)

d)

2

83.

If d = 3, r = ?

a)

6

b)

3

c)

1.5

d)

1

84.

Find the circumference of the circle in the image.

a)

10π

b)

20π

c)

100π

d)

20

85.

What is the diameter of the circle in the image?

a)

10

b)

20π

c)

20

d)

100

86.

What is the formula for finding the area of a circle?

a)
b)
87.

What is the radius of the circle in the image?

a)

6

b)

2

c)

3

d)

12

88.

What is the area of the circle in the image?

a)

b)

12π

c)

12

d)

36π

89.

What is the circumference of the circle in the image?

a)

6

b)

c)

12π

d)

36π

90.

What does π equal?

a)

3

b)

3.14

c)

3.2

d)

21/7

91.

Find the approximate area of the circle in the image.

a)

63.585 square inches

b)

81 square inches

c)

20.25 square inches

d)

254.34 square inches

92.

What is the radius of the circle in the image?

a)

9

b)

4.5

c)

81

d)

20.25

93.

Fill in the blank. The radius of a circle is equal to _________ its diameter.

a)

half

b)

twice

c)

the square of

94.

A circle as a circumference of 36π meters. What is the radius of the circle?

a)

36 meters

b)

6 meters

c)

12 meters

d)

18 meters

95.

A circle has an area of 36π. What is the circumference of the circle?

a)

18π

b)

12π

c)

d)

36π

96.

A rose garden is circular. The diameter of the garden is 18 feet. What is the area of the garden?

a)

9π square feet

b)

36π square feet

c)

81π square feet

d)

324π square feet

97.

A circular swimming pool has a radius of 15 feet. The family that owns the swimming pool wants to put up a circular fence that is 5 feet away from the pool at all points. What is the circumference of the fence they will need? Hint: Draw what you know.

a)

15π

b)

20π

c)

40π

d)

30π

98.

A circular pin has a diameter of 6.2 centimeters. What is the area of the circle?

a)

38.44π square cm

b)

9.61 square cm

c)

6.2π square cm

d)

9.61π square cm

99.

A circular pin has a diameter of 6.2 centimeters. What is the area of the circle?

a)

38.44π square cm

b)

9.61 square cm

c)

6.2π square cm

d)

9.61π square cm

100.
What is the circumference of a circle with a diameter of 40 in? 
a)
125.6 in
b)
35.17 in
c)
28.67 in
d)
47.17 in
101.
A minute hand (radius) of a clock is 13.8 meters long. What is the circumference of the clock?
a)
86.66 meters
b)
76.66 meters
c)
66.66 meters
d)
96.66 meters
102.
What is the circumference of a circle with a radius of 21 cm?
a)
131.9 cm
b)
121.9 cm
c)
111.9 cm
d)
141.9 cm
103.
What is the circumference of a circle with a diameter of 56 m?
a)
175.8 m
b)
176.8 m
c)
165.8 m
d)
186.8 m
104.
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. 
105.
The circumference of a circle is
a)
The measurement from an edge of a circle to another edge.
b)
The measurement around the circle
c)
The measurement from an edge of a circle to another edge going through the center
d)
The measurement from the center of the circle to an edge of the circle
106.
Find the circumference of a circle with a radius of 12.5 mm .
a)
37.68mm
b)
18.84mm
c)
78.5mm
d)
none of the above
107.
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
108.
Find the area of the circle
a)
43.96
b)
153.86
c)
87.82
d)
307.72
109.
find the area of the circle below.
a)
100 cm
b)
225 cm
c)
9 cm
d)
28.26 cm
110.
The radius is....
a)
a line that crosses through the center and touches each edge 
b)
the center point of a circle 
c)
a line from the center point to the edge of the circle
d)
an element in science
111.
What is the area of this circle?
a)
15393.8
b)
1248.12
c)
5930.12
d)
3848.45
112.
Find the area of the circle
a)
56.52
b)
254.34
c)
1017.36
d)
113.04
113.
Which expression could be used to find the approximate circumference of this quilt piece?
a)
3.14(32)
b)
3.14(16)
c)
3.14(8)
d)
3.14(4)
114.
What is the diameter?
a)
6.5
b)
15
c)
24.84
d)
78
115.
A bicycle tire has a diameter of 27 inches. How far does the bike travel along the ground when the wheel rotates once?
a)
84.78
b)
15.5
c)
27
d)
13
116.
The Jones family wants to enclose their circular garden with a fence. To the nearest foot, what is the minimum length of fencing they need to buy?
a)
56.25 ft
b)
246 ft
c)
365 ft
d)
393 ft
117.
Daniel wants to buy cookies for her friend. The
radius of a cookie is 5 inches. What is the cookie’s 
circumference?
a)
10 in
b)
2.5 in
c)
15.7 in
d)
31.4 in 
118.
Steven purchases a bowl. The diameter of the
bowl is 14 cm. What is the circumference of the 
bowl?
a)
28 cm
b)
43.98 cm
c)
87.96 cm
d)
7 cm
119.
Jayne has a very large circular lollipop that has a circumference of 25.12 inches. What would the area of Jayne’s lollipop be?
a)
50.24 in.2
b)
200.96 in2
c)
12.56 in. 2
d)
78.88 in.2
120.
A clock face has a diameter of 10 inches. What is the approximate area of the clock face in square inches?
a)
314 in2
b)
31.4 in2
c)
7.85 in2
d)
78.5 in2
121.

If a circle has a circumference of 26.69 yards, what is it's diameter?

a)

8.5 yards

b)

83.8 yards

c)

4.2 yards

d)

17.6 yards

122.
If a Circle has a radius of 3 cm and a diameter of 6cm , what is the circumference of the circle? 
a)
9.42 cm
b)
18.84 cm
123.
If a circle has a diameter of 45 feet, what is its radius?
a)
90 feet
b)
22.5 feet
c)
45 feet
d)
180 feet
124.
The diameter of a circle is 7.5 inches. What is it's radius?
a)
3.75 inches
b)
15 inches
c)
23.55 inches
125.
A circle has a radius of 150 mm. What is it's circumference? 
a)
471 mm
b)
942 mm
c)
47.7 mm
126.
What is the correct formula for the Area of a Circle? 
a)
A= π x d
b)
A = π x d²
c)
A= π x r²
127.
What is the area of a circle that has a radius of 100 miles?
a)
7,850 miles 
b)
10,000 miles
c)
31,400 miles
128.
What is the area of a circle with a radius of 14.4 meters?
a)
651.1 meters
b)
2604.44 meters
c)
162.7 meters