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Circumference of Circle-Diameter - Printable Math Worksheets class 7 - Wayground

Circumference of Circle-Diameter

George Cosentino

Created by George Cosentino

20 questions

7th Grade

Math

Updated Mar 2026

Circumference of Circle-Diameter is a Grade 7 mathematics worksheet that helps students connect a circle’s diameter and radius to its circumference. Across 20 mixed-format items—including multiple-choice questions, a fill-in-the-blank, dropdown, matching, and multiple-select tasks—students identify diameter and radius, find one measurement from the other, use pi as approximately 3.14, and calculate circumference from a given diameter. Several questions require selecting or entering measurements with appropriate units, while one asks students to round a circumference to the nearest hundredth. The worksheet also checks students’ understanding of circle formulas and includes a real-world circular-window area problem, helping teachers identify whether students can distinguish circumference from other circle measurements. It is designed for Grade 7 math practice, review, or assessment. This free printable worksheet includes a complete answer key for efficient checking and can also be used digitally on Wayground.

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Circumference of Circle-Diameter

Total questions: 20

Name
Class
Date
1.
14cm in the circle represents its

14cm in the circle represents its

a)

radius

b)

diameter

2.
What is the length of the radius of the circle?

What is the length of the radius of the circle?

(a)  

3.
Find the circumference of the circle

Find the circumference of the circle

a)

18.84 cm

b)

75.36 cm

c)

37.68 cm

4.

Find the circumference of the circle whose diameter is 10 m

a)

31.4 m

b)

62.8 m

c)

15.7 m

5.

The ratio between a circle's circumference and ​ (a)   is ​ (b)  

Choose from the below words
diameter

π\pi  

radius
6.

Find the circumference of the circle whose diameter is 10 m

a)

31.4 m

b)

62.8 m

c)

15.7 m

7.
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
8.
What is the circumference of this circle ?
What is the circumference of this circle ?
a)
3.14 cm 
b)
37.68 cm
c)
24 cm
d)
68.4 cm
9.

Match the formulas to the measurements indicated.

To find the area of a circle use:

A= πr2\pi r^2

To find the circumference of a circle use:

C= πd\pi d

To find the diameter of a circle use:

2r

To find the radius of the circle use:

d/2

10.
A cruise ship has a large, circular window. It has a diameter of 6 meters. What is the window's area ?
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
11.
A pond has a diameter of 12 feet. What is its radius ?

A pond has a diameter of 12 feet. What is its radius?

a)

12 feet

b)

6 feet

c)

24 feet

12.
A tire has a radius of 14 inches. What is its diameter ?

A tire has a radius of 14 inches. What is its diameter?

a)

14 inches

b)

7 inches

c)

28 inches

13.

What is pi?

Check ALL applicable answers!

a)

a delicious dessert

b)

the ratio between circumference and diameter

c)

a Greek symbol

d)

exactly 3.14

e)

approximately 3.14

14.
What is the diameter of this circle?

What is the diameter of this circle? 

a)

10 cm

b)

5 cm

c)

2.5 cm

d)

50 cm

15.
What is the circumference of this circle? round to the nearest hundredth and use 3.14 for

C = 2πrC\ =\ 2\pi r  

C = πdC\ =\ \pi d      
What is the circumference of this circle? round to the nearest hundredth and use 3.14 for  π\pi  

a)

19.84 inches

b)

9.42 inches

c)

18.84 inches

d)

17.88 inches

16.
What is the circumference of this circle? use 3.14 for and round to the nearest hundredth.

C = πdC\ =\ \pi d

  C = 2πrC\ =\ 2\pi r  

What is the circumference of this circle?  use 3.14 for  π\pi  and round to the nearest hundredth. 

a)

56.52 in

b)

55.25 in

c)

66.56 in

d)

28.26 in

17.
What is the radius of this circle?

What is the radius of this circle? 

a)

18

b)

17

c)

36

d)

19

18.
What is the diameter of this circle?
What is the diameter of this circle?
a)
3.5
b)
3
c)
5
d)
7
19.

True or False: The radius goes half way across the circle

a)

False

b)

True

20.

If you fold a circle in half, what shape have you created?

a)

Quarter circle

b)

Semi-circle

c)

a taco

d)

another circle

WaygroundAnswer Key

Circumference of Circle-Diameter

Total questions: 20

1.
b)

diameter

2.
7, 7 cm, 7cm
3.
c)

37.68 cm

4.
a)

31.4 m

5.
diameter,

π\pi  

6.
a)

31.4 m

7.
b) diameter
8.
b) 37.68 cm
9.

To find the area of a circle use:

 - 

A= πr2\pi r^2

, 

To find the circumference of a circle use:

 - 

C= πd\pi d

, 

To find the diameter of a circle use:

 - 

2r

, 

To find the radius of the circle use:

 - 

d/2

10.
d) 28.26 m2
11.
b)

6 feet

12.
c)

28 inches

13.
b)

the ratio between circumference and diameter

, c)

a Greek symbol

, e)

approximately 3.14

14.
b)

5 cm

15.
c)

18.84 inches

16.
a)

56.52 in

17.
a)

18

18.
d) 7
19.
b)

True

20.
b)

Semi-circle

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FAQs

What does the Circumference of Circle-Diameter worksheet cover?

This Grade 7 worksheet focuses on using a circle’s radius and diameter to find its circumference. Its 20 mixed-format questions ask students to identify diameter, convert between radius and diameter, recognize pi as approximately 3.14, match circle formulas, calculate circumference, and round an answer to the nearest hundredth.

How can I use this worksheet to teach circumference from diameter?

Begin by having students identify which measurement passes through the center and distinguish diameter from radius. Then model calculating circumference from a given diameter using pi, and have students explain why choices such as 31.4 m and 62.8 m represent different uses of the circle’s measurements. Use the matching and multiple-select items to discuss formulas and the meaning of pi before assigning the calculation questions independently.

What mistakes should I watch for on this circle circumference worksheet?

Students may confuse radius and diameter, such as treating a 14 cm diameter as the radius or failing to halve a diameter when finding the radius. They may also use the radius when a circumference question gives the diameter, select exactly 3.14 instead of approximately 3.14 for pi, or miss the required rounding to the nearest hundredth. Check multiple-select responses carefully because the pi question requires every applicable answer, not just one choice.

How do I assign and grade this circumference worksheet?

You can assign Circumference of Circle-Diameter as a printable PDF or as a digital quiz on Wayground, and it includes a complete answer key. For printed submissions, scan student work with the Wayground for Teachers app to help grade responses efficiently.

How can I differentiate this circle circumference worksheet for my students?

Use the worksheet’s Advanced Settings to adjust font spacing or increase the font size so the measurement choices, formulas, and mixed-format items are easier to read. You can also enable a dyslexia-friendly font or translate the worksheet into another language when that better supports access to its circle vocabulary and directions.

Where can I find more worksheets like this on Wayground?

Wayground offers a broad collection of free printable worksheets and practice problems across subjects, with downloadable PDFs and answer keys to support essential skills and concepts. Browse more resources at https://wayground.com/en-us/worksheets.

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