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Worksheets

Circles and Circumference

Total questions: 47

Worksheet time: 2hrs 21mins

Name
Class
Date
1.
What is the formula for circumference of a circle given the diameter?
a)
C = π r
b)
C = 2 π r
c)
C = π d
d)
C = 2 π d
2.
The _____ is the distance from the center to any point on the circle.
a)
diameter
b)
radius
c)
π
d)
center
3.
The distance across a circle through its center is called the _____.
a)
diameter
b)
radius
c)
π
d)
center
4.
If you are given the diameter, how can you calculate the radius?
a)
Multiply the diameter by 2
b)
Divide the diameter by 2
c)
Add 2 to the diameter
d)
Subtract 2 from the diameter
5.
Which segment is the diameter?
a)
AC
b)
BD
c)
LM
d)
CE
6.

Which segment is a radius? Select all that apply.

a)
LM
b)
DC
c)

BC

d)

AC

7.

The definition of radius is

a)

distance from one point to another point

b)

distance around the circle

c)

distance from the center to any point on the circle

d)

distance across the circle through the center

8.

The definition of diameter is

a)

distance from the center of any point on the circle

b)

distance across the circle through the center

c)

distance from one point to another

d)

distance around the circle

9.

The definition of circumference is

a)

distance from the center of any point on the circle

b)

distance from one point to another

c)

distance around the circle

d)

distance from the center of any point on the circle

10.

Find the radius of the circle

a)

20 ft

b)

10 ft

c)

5.5 ft

d)

10

11.

find the diameter of the circle

a)

14 m

b)

7 m

c)

14

d)

3.5 m

12.

Does this picture show the diameter or radius of a circle?

a)

Diameter

b)

Radius

13.
Does this picture show the diameter or radius of a circle?
a)
Diameter
b)
Radius
14.
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
15.
What is the radius of this circle?
a)
12cm
b)
6cm
c)
24cm
d)
3cm
16.

The diagram below shows the radius of the circular opening of a bowl. What is the approximate circumference of the opening in centimeters?

a)

29.83

b)

9.5

c)

59.66

17.

 Circumference=πdCircumference=\pi d  Find the circumference of a circle with diameter = 10 ft

a)

3.14 ft

b)

31.4 ft

c)

314.1 ft

d)

62.8 ft

18.

Select all quantities that are proportional to the diagonal length of a square. Select all that apply.

a)

Area of Square

b)

Perimeter of Square

c)

Side length of a square

19.

Is this graph a approximately proportional relationship?

a)

Yes

b)

No

20.

Which measurement is inaccurate? Hint: Multiply diameters by pi.

a)

Half Dollar Coin

b)

Flying Disc

c)

Jar Lid

d)

Flower Pot

21.

The circumference of Tyler's bike tire is 72 inches. What is the diameter of the tire?

a)

About 23 in

b)

About 223 in

c)

About 72 in

d)

About 216 in

22.

Priya drew a circle whose circumference is 25 cm. Clare drew a circle whose diameter is 3 times the diameter of Priya’s circle. What is the circumference of Clare’s circle?

a)

70 cm

b)

75 cm

c)

65 cm

d)

60 cm

23.

The fence around a circular pool is 75 feet. 75 feet is the measure of the:

a)

Diameter

b)

Radius

c)

Circumference

24.

From the edge to the center of a DVD measures 60mm. What is an estimate of the circumference?

a)

30mm

b)

60mm

c)

120m

d)

380mm

25.

The diameter of a bike wheel is 27 inches. If the wheel makes 15 complete rotations, how far does the bike travel?

a)

405 inches

b)

9 in

c)

1,272 inches

26.

Here is a picture of a Ferris wheel. It has a diameter of 80 meters.

How far does a rider travel in one complete rotation around the Ferris wheel?

a)

80 m

b)

40 m

c)

160 m

d)

251 m

27.

A coin rolls a distance of 33 cm in 5 rotations. Which coin is it?

a)

Penny

b)

Nickel

c)

Dime

d)

Quarter

28.

A quarter makes 8 rotations. How far did it roll? Round your answer to the nearest tenth.

a)

59.2cm

b)

60.3cm

c)

60.8cm

d)

61.8cm

29.

The length of a minute hand on a clock is 4 inches. 4 inches is the measure of the:

a)

Radius

b)

Diameter

c)

Circumference

30.

The length of a metal rim around a glass is 190mm. What is an estimate of the radius?

a)

30mm

b)

60mm

c)

95mm

d)

120mm

31.

Diego made a graph of two quantities that he measured and said, “The points all lie on a line except one, which is a little bit above the line. This means that the quantities can’t be proportional.” Do you agree with Diego? Explain.

4 lines
32.

 Circumference=2πrCircumference=2\pi r                   Find the circumference of a circle with
radius = 2 cm

a)

6.3 cm

b)

1.26 cm

c)

12.6 cm

d)

126 cm

33.
What is the radius of this circle?
a)
12
b)
6
c)
24
34.
What is the area of this circle?
a)
163.2
b)
15.3
c)
124.2
d)
113.1
35.
What is the area of this circle?
a)
1385.44
b)
2142.12
c)
5541.77
d)
1289.12
36.
What is the area of this circle?
a)
1256.64
b)
31.41
c)
314.16
d)
123.12
37.
What is the area of this circle?
a)
6082.12
b)
1520.53
c)
1893.14
d)
1292.92
38.

find the area of the circle below. (use 3.14 for π\pi ) 

a)

100 cm

b)

225 cm

c)

9 cm

d)

28.26 cm

39.
what is the area of this semicircle ?
d = 8 cm 
a)
100.48 cm2
b)
80 cm2
c)
200.96 cm2
d)
25.12 cm2
40.
The diameter of the face-off circle on an ice-hockey rink is 30 feet. Find its area.
a)
675.6 ft2
b)
29.67 ft2
c)
545.8 ft2
d)
706.5 ft2
41.
Shring's dining room table is round and has a radius of 4.5 feet. What is the tabletop's area?
a)
63.585 ft2
b)
68.345 ft2
c)
64.585 ft2
d)
61.345 ft2
42.
Mrs. Apple just bought a new dinning room table. She needs to make a table cloth for decoration. What amount of fabric should she buy if the table has a diameter of 5 feet? Choose the equation that would best help solve this problem.
a)
C = π5
b)
C = (2)(π)(2.5)
c)
A = π x 5 x 5
d)
A = π x 2.5 x 2.5
43.
Jayne has a very large circular lollipop that has a circumference of 25.12 inches. What would the area of Jayne’s lollipop be? Use π = 3.14. (You are going to have to find the diameter then radius before finding area.)
a)
50.24 in.2
b)
200.96 in2
c)
12.56 in. 2
d)
78.88 in.2
44.
Hannah drew a circle with a radius of 30 cm. Jonas drew a circle with a radius of 20 cm. What is the approximate difference in the areas of their circles?
a)
2,826 cm2
b)
1,570 cm2
c)
1,256 cm2
d)
314 cm2
45.
What is the area of this composite shape?
a)
14 in2
b)
68 in2
c)
36 in2
d)
24 in2
46.
What is the area of the shaded region?
a)
20 sq cm
b)
4 sq cm
c)
30 sq cm
d)
24 sq cm
47.
What is the area of the composite figure?
a)
144 m2
b)
111 m2
c)
45 m2
d)
70 m2

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