Wayground logo

Free Printable Worksheets

Font size

S
M
L
XL
Worksheets

Perimeter, Circumference, Area, and Volume

Total questions: 138

Worksheet time: 34hrs 16mins

Name
Class
Date
1.
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
2.
Does this picture show the diameter or radius of a circle?
a)
Diameter
b)
Radius
3.
Does this picture show the diameter or radius of a circle?
a)
Diameter
b)
Radius
4.
What is the diameter?
a)
8
b)
16
c)
10
d)
4
5.

Steven purchases a bowl. The diameter of the bowl is 14 cm. What is the circumference of the bowl?

a)

28.4 cm

b)

44 cm

c)

187.9 cm

d)

7 cm

6.

Cynthia wants to buy a round photo frame for her brother. The radius of the photo frame is 9 cm. What is the photo frame’s diameter?

a)

28.26 cm

b)

56.52 cm

c)

4.5 cm

d)

18 cm

7.
Determine the radius of the penny
a)
59.66 mm
b)
9.5 mm
c)
38 mm
d)
119.32 mm
8.
What is the circumference of this circle?
a)
3.14 cm 
b)
37.7 cm
c)
24 cm
d)
68.4 cm
9.
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 cm
10.
Find the circumference of a circle with a radius of 12.5 mm.
a)
37.68mm
b)
18.84mm
c)
78.54mm
d)
none of the above
11.
The radius of the circle is 9 meters.  What is the circle's circumference?
a)
9 meters
b)
28.26 meters
c)
56.52 meters
d)
18 meters
12.
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 
13.
What is the circumference of this circle?  Round to the nearest tenth.
a)
3.14 cm 
b)
37.7 cm
c)
24 cm
d)
68.4 cm
14.
If the diameter of a circle is 10 mm, the circumference is approximately ___
a)
314 mm
b)
3.14 mm
c)
31.4 mm
d)
20 mm
15.
Serena drew a circle with a circumference of 157 centimeters.  What is the approximate diameter of the circle she drew?
a)
1.57 cm
b)
15.7 cm
c)
50 cm
d)
25 cm
16.
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
17.
The diameter of a circle is 3 centimeters. What is the circumference?
a)
11.5cm2
b)
9.42 cm2
c)
unicorns are awsome
d)
45.3 cm2
18.
Brian made a tasty burger. The diameter of the
burger was 5 cm. What is the radius of the circle?
a)
15.7 cm
b)
10 cm
c)
2.5 cm
d)
31.4 cm
19.

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

a)

C = r2

b)

C = rd

c)

A = π·r2

d)

C = π·d

20.

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

21.

What does C represent in the formula:

C = π·d

a)

Pi

b)

Circumference

c)

Diameter

d)

Area

22.

What does d represent in the formula:

C = π·d

a)

diameter

b)

radius

c)

pi

d)

3.14

23.

What is the diameter of a circle?

a)

the distance around a circle

b)

the area of a circle

c)

halfway through a circle

d)

a line through the center of a circle

24.

What is the circumference of a circle?

a)

the distance around a circle

b)

the area of a circle

c)

halfway through a circle

d)

a line through the center of a circle

25.

Find the circumference of the circle.

a)

31.4 cm

b)

78.5 cm

c)

314 cm

d)

15.7 cm

26.

Find the circumference of the circle.

a)

78.5 cm

b)

15.7 cm

c)

7.85 cm

d)

19.6 cm

27.

Find the circumference of the circle.

a)

18.8 cm

b)

113 cm

c)

37.7 cm

d)

452.2 cm

28.

Find the circumference of the circle.

a)

38.47 cm

b)

10.99 cm

c)

43.96 cm

d)

21.98 cm

29.

Find the circumference of the circle.

a)

14.13 cm

b)

63.56 cm

c)

28.26 cm

d)

127.17 cm

30.

The space inside an object is called it's

a)

area

b)

perimeter

31.

The distance around an object is called the

a)

area

b)

perimeter

c)

length

d)

volume

32.

What is the area?

a)

35 cm235\ cm^2

b)

30 cm230\ cm^2

c)

26 cm226\ cm^2

d)

12 cm212\ cm^2

33.

What is the perimeter?

a)

21 cm

b)

24 cm

c)

30 cm

d)

35 cm

34.

What is the area of the rectangle?

a)

15 cm215\ cm^2

b)

18 cm218\ cm^2

c)

16 cm216\ cm^2

d)

12 cm212\ cm^2

35.

What is the perimeter of the rectangle?

a)

15 cm

b)

16 cm

c)

18 cm

d)

13 cm

36.

What is the perimeter of the rectangle?

a)

14 ft

b)

28 ft

c)

48 ft

d)

20 ft

37.

What is the area of the rectangle?

a)

48 ft248\ ft^2

b)

40 ft240\ ft^2

c)

28 ft228\ ft^2

d)

14 ft214\ ft^2

38.

What is the area of this rectangle?

a)

12 cm212\ cm^2

b)

8 cm28\ cm^2

c)

6 cm26\ cm^2

d)

14 cm214\ cm^2

39.

What is the perimeter of this rectangle?

a)

8 cm

b)

14 cm

c)

6 cm

d)

12 cm

40.
What is the perimeter?
(click to show image)
a)

20 m

b)

40 m

c)

60 m

d)

200 m

41.
What is the perimeter of the shape?
(click to show image)
a)
4 inches
b)
10 inches
c)
12 inches
d)
20 inches
42.
What is the perimeter of this figure?
(click to show image)
a)
12 m
b)
20 m
c)
12 cm
d)
20 cm
43.
The perimeter of a rectangle is 34 metres.  The width is 4 metres.  What would the length be?
a)
17 m
b)
13 m
c)
15 m
d)
30 m
44.
How would you find the area of the pink model?
(click to show image)
a)
Add 4 and 3
b)
Multiply 4 by 3
c)
Add 4 and 4
d)
Multiply 4 by 4
45.

What is the perimeter of the fence?

a)

25 units

b)

30 units

c)

35 units

d)

40 units

46.
Adam was painting a wall in his room. The wall was 4 feet wide and 4 feet tall. What is the area of the wall he has to paint?
a)

16 ft216\ ft^2

b)

8 ft28\ ft^2

c)

12 ft212\ ft^2

d)

4 ft24\ ft^2

47.
A lawn had an area of 35 square feet. If it was 7 feet width, how long was it? 
a)
84 ft.
b)
245 ft.
c)
5 ft.
d)
14 ft.
48.
A rectangle flower bed had a total area of 35 square yards. If it was 5 yards wide, how long was it? 
a)
175 yards
b)
7 yards
c)
15 yards
d)
30 yards
49.
At the playground, the new sandbox was 10 meters wide and had an area of 60 square meters. How long is the sandbox?
a)
600 meters
b)
60 meters
c)
6000 meters
d)
6 meters
50.
The woods behind Tom's house were 8 miles wide and 6 miles long. What is the area of the woods?
a)

28 mi228\ mi^2

b)

48 mi248\ mi^2

c)

86 mi286\ mi^2

d)

42 mi242\ mi^2

51.
A book had a length of 5 inches and a width of 8 inches. What is the perimeter of the book?
a)
26 inches
b)
40 inches
c)
36 inches
d)
32 inches
52.
Sarah had a sheet of paper that was 3 inches long and 7 inches wide. What is the perimeter of the paper? 
a)
20 inches
b)
21 inches
c)
24 inches
d)
22 inches
53.
What is the missing length if the perimeter is 30cm?
a)
12cm
b)
13cm
c)
30cm
d)
5cm
54.
What is the perimeter?
a)
30 units
b)
32 units
c)
24 units
d)
36 units
55.
If I wanted to fence in my backyard, that would be an example of:
a)
area
b)
perimeter
56.

What is the perimeter of this figure?

a)

31 ft.

b)

22 ft.

c)

16 ft.

d)

18 ft.

57.

Farmer Bob's son built a track to walk his pet pig. The track goes around the pig pen. The pig pen is 15 m long and 21 m wide. If the pig walks all the way around the track, how many meters did he walk?

a)

72 m

b)

36 m

c)

56 m

d)

144 m

58.

Farmer Bob needs to build a fence for his chickens. The area he wants to build a fence around is 40 m long and 20 m wide. How many meters of fence does he need to buy?

a)

800 m

b)

120 m

c)

60 m

d)

80 m

59.

The perimeter of a rectangle is 20 meters. The width is 4 meters. What would the length be?

a)

6 m

b)

13 m

c)

15 m

d)

8 m

60.

The area of this triangle is:

a)

4 km2

b)

16 km2

c)

64 km2

d)

8 km2

61.
Area of triangle?
a)
17 units2
b)
20 units2
c)
10 units2
d)
16 units2
62.

What is the area?

a)

12 in212\ in^2

b)

15 in215\ in^2

c)

24 in224\ in^2

d)

6 in26\ in^2

63.

What is the area?

a)

13 in2

b)

20 in2

c)

26 in2

d)

40 in2

64.
Find the area.
a)

128 m2

b)

64 m2

c)

144 m2

d)

72 m2

65.

Find the area.

a)

216  cm2

b)

18 cm2

c)

132 cm2

d)

238 cm2

66.

Find the area of the quadrilateral.

a)

30 cm2

b)

28 cm2

c)

56 cm2

d)

32 cm2

67.
What is the area of the shaded region?
a)
14 m2
b)
120 m2
c)
106 m2
d)
134 m2
68.

Find the area.

a)

54 cm2

b)

45 cm2

c)

63 cm2

d)

36 cm2

69.

Find the area of the figure.

a)

43 in2

b)

102 in2

c)

37 in2

d)

90 in2

70.
What is the area of the composite figure?
a)
144 m2
b)
111 m2
c)
45 m2
d)
70 m2
71.
What is the area of the shaded region?
a)
4 cm2
b)
16 cm2
c)
8 cm2
d)
12 cm2
72.
Find the area
a)

150 m2

b)

120 m2

c)

126 m2

d)

200 m2

73.

Find the area of the figure.

a)

14 in2

b)

68 in2

c)

36 in2

d)

24 in2

74.
The arrow shown is on a sign. What is the area of the arrow?
a)

17 in2

b)

40 in2

c)

52 in2

d)

61 in2

75.
What is the area of the composite shape?
a)

50 cm2

b)

25 cm2

c)

40 cm2

d)

35 cm2

76.
Jane is planting a rectangular rose garden.  In the centre of the garden, she puts a smaller rectangular patch of grass.  The grass is 2 feet by 2 feet.  What is the area of the rose garden?
a)
82 ft2
b)
6 ft2
c)
88 ft2
d)
94 ft2
77.
A line that goes from one end of the circle to the other and crosses the center point.  
a)
center
b)
diameter
c)
dime eater
d)
radius
78.

What is the area of the composite figure?

a)

14 cm2

b)

6.28 cm2

c)

12.56 cm2

d)

20.28 cm2

79.

Find the area of this circle.

a)

37.68 ft2

b)

18.84 ft2

c)

113.04 ft2

d)

9.42 ft2

80.
Find the area of the circle
a)
56.52 in2
b)
254.34 in2
c)
1017.36 in2
d)
113.04 in2
81.
What is the radius of this circle?
a)
18
b)
10
c)
9
d)
8
82.
What is the diameter of this circle?
a)
3.5
b)
3
c)
5
d)
7
83.
Find the area of the circle with radius 3 cm below.
a)
100 cm2
b)
18.84 cm2
c)
9.42 cm2
d)
28.26 cm2
84.
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
85.
Does this picture show the diameter or radius of a circle?
a)
Diameter
b)
Radius
86.
Does this picture show the diameter or radius of a circle?
a)
Diameter
b)
Radius
87.
What is the formula for circumference of a circle given the diameter?
a)

C = π x r

b)

C = π x 3r

c)

C = π x d

d)

C = π x 2d

88.
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
89.
Cynthia wants to buy a round photo frame for her brother. The radius of the photo frame is 9 cm. What is the photo frame’s diameter?
a)
28.26 cm
b)
56.52 cm
c)
4.5 cm
d)
18 cm
90.
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 cm
91.
Find the circumference of a circle with a radius of 12.5 mm.
a)
37.68mm
b)
18.84mm
c)
78.54mm
d)
none of the above
92.

What is the area of the triangle?

a)

460 cm2

b)

490 cm2

c)

230 cm2

d)

260 cm2

93.
A _______________ is a quadrilateral with two sets of parallel sides.
a)
trapezoid
b)
parallelogram
c)
kite
d)
triangle
94.
Kate built a garden box with 4 sides.  It has two sets of parallel sides.  Which of the following shapes could her garden NOT be?
a)
rectangle
b)
trapezoid
c)
square
d)
parallelogram
95.
Name that shape.
a)
quadrilateral, parallelogram
b)
quadrilateral
c)
quadrilateral, kite.
d)
quadrilateral, trapezoid
96.

What is the area of the composite figure?

a)

80 cm2

b)

16 cm2

c)

96 cm2

d)

32 cm2

97.

Find the area of the composite figure.

a)

3 ft2

b)

51.5 ft2

c)

32 ft2

d)

44 ft2

98.

What is the area of this shape?

a)

296.96 m2

b)

148.96 m2

c)

98.24 m2

d)

73.13 m2

99.

How do you find the volume of a rectangular prism?

a)

Multiply length and width

b)

Multiply length, height and width

c)

Add length, height and width

d)

Add length and width

100.
What is the volume of this shape?
a)

1686 m3

b)

1856 m3

c)

1728 m3

d)

1422 m3

101.

The volume of the rectangular prism is 84 cm3. The length is 7 cm. The width is 3 cm. What is the height?

a)

4 cm

b)

5 cm

c)

6 cm

d)

7 cm

102.

Find the Volume.

a)

410 cm3

b)

420 cm3

c)

402 cm3

d)

401 cm3

103.
4. How many sides make up the total surface area of a box?
a)
A. 3
b)
B. 4 
c)
C. 5
d)
D. 6
104.

What shape is this?

a)

Square Pyramid

b)

Rectangular Prism

c)

Triangular Prism

d)

Triangular Pyramid

105.

What shape is this?

a)

Triangular Pyramid

b)

Rectangular Prism

c)

Triangular Prism

d)

Pentagonal Pyramid

106.

What is the radius of the cylinder?

a)

10 cm

b)

5 cm

c)

12 cm

d)

6 cm

107.

What is the EXACT volume of the cylinder?

a)

60π cm360\pi\ cm^3

b)

120π cm3120\pi\ cm^3

c)

300π cm3300\pi\ cm^3

108.

Which is the correct set up for the volume of the cylinder?

a)

V=π×8×152V=\pi\times8\times15^2

b)

V=π×82×15V=\pi\times8^2\times15

c)

V=π×8×15V=\pi\times8\times15

109.

What is the exact volume of the cylinder?

a)

130.69 cm3

b)

133.12 cm3

c)

418.21 cm3

d)

83.20 cm3

110.

What is the approximate volume of the cylinder?

a)

450.23 m3

b)

94.27 m3

c)

1413.72 m3

d)

942.78 m3

111.
What does perimeter mean?
a)
The amount of space inside a shape
b)
The distance around a shape
c)
The amount of space inside a shape divided by two
d)
Half the distance around a shape
112.
What is the perimeter of this rectangle? 
a)

82 cm

b)

34 cm

c)

60 cm

d)

14 cm

113.
What is the perimeter of this polygon?
a)

39 in

b)

135 in

c)

34 in

d)

75 in

114.
What is the perimeter of this polygon? 
a)

12 ft

b)

49 ft

c)

24 ft 

d)

28 ft

115.
What is the perimeter?
a)

4 in

b)

16 in

c)

8 in

d)

24 in

116.

What is the area of the field?

a)

50 units2

b)

30 units2

c)

90 units2

d)

60 units2

117.
What is the perimeter of the rectangle?
a)

14 ft

b)

28 ft

c)

48 ft

d)

24 ft

118.

Find the perimeter of this figure.

a)

25 cm

b)

20 cm

c)

10 cm

d)

15 cm

119.

What is the perimeter of the following triangle?

a)

32 units

b)

20 units

c)

10 units

d)

17 units

120.
Farmer Jose built a fence around his rectangular pig's pen. The fence was 10 feet long and 7 feet wide. How many feet of fencing would he need for his pig's pen? 
a)
70 feet
b)
17 feet
c)
34 feet
d)
36 feet
121.
The space inside an object is called it's
a)
area
b)
perimeter
c)
volume
d)
circumference
122.
What is the area of the rectangle?
a)

15 cm2

b)

16 cm2

c)

8 cm2 

d)

20 cm2

123.
What is the area?
a)

3 units2

b)

6 units2

c)

12 units2

d)

9 units2

124.
What is the area of this figure?
a)

12 cm2

b)

32 cm2

c)

16 cm2

d)

24 cm2

125.
Find the area of the rectangle.
a)

8 units2

b)

9 units2

c)

10 units2

d)

12 units2

126.

Find the area of this figure.

a)

160 ft2

b)

52 ft2

c)

26 ft2

d)

80 ft2

127.
How do you find the area of a rectangle?
a)
Length + Length + Length + Length
b)
Length + Width
c)
Length x Width
d)
Width x Width
128.

Phoebe drew a square. Each side measures 6 cm. What is the area of the square?

a)

24 cm2

b)

36 cm2

c)

42 cm2

d)

48 cm2

129.
What is the total area of the pink model?
a)

14 units2

b)

4 units2

c)

7 units2

d)

12 units2

130.
What is the volume of this rectangular prism?
a)

26 units3

b)

24 units3

c)

6 units3

d)

12 units3

131.

Determine the volume of the figure shown below.

a)

1 unit3

b)

8 units3

c)

3 units3

d)

4 units3

132.

Find the volume of the rectangular prism.

a)

9 units3

b)

18 units3

c)

27 units3

d)

13 units3

133.

How do you find the volume of a prism?

a)

Divide length x width  x  height 

b)

 length + width  +  height 

c)

 length x width  x  height 

d)

none of the above

134.
What is the volume of this rectangular prism?
a)

6 units3

b)

16 units3

c)

12 units3

d)

10 units3

135.

Find the volume of the prism?

a)

24 cm3

b)

420 cm3

c)

314 cm3

d)

120 cm3

136.

Find the volume of the prism?

a)

546 m3

b)

426 m3

c)

654 m3

d)

26 m3

137.

Find the volume of the prism?

a)

22 ft3

b)

84 ft3

c)

168 ft3

d)

152 ft3

138.
What is the volume of this prism?
a)

6 in3

b)

12 in3

c)

24 in3

d)

9 in3