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Circles- Parts, Circumference & Area  - Printable Social studies Worksheets 6th - 7th Grade - Wayground

Circles- Parts, Circumference & Area

Zain Conteh

Created by Zain Conteh

15 questions

6th - 7th Grade

Social studies

Updated Oct 2026

Circles: Parts, Circumference & Area is a free printable mathematics worksheet for Grades 6–7. It includes 15 multiple-choice questions that ask students to identify radius and diameter, recognize circumference as the perimeter of a circle, select the correct circumference formula, and calculate circumference from given measurements. Several items require students to read circle diagrams and choose the correct labeled segment or measurement. The worksheet also provides practice finding the area of circles from their radius, selecting appropriate formulas, interpreting square-unit answers, and applying circumference to a real-world fencing problem. These varied questions help students distinguish between radius, diameter, circumference, and area while checking their formula selection, calculations, and rounding. A complete answer key is included, making this free printable worksheet useful for guided practice, independent work, review, or assessment.

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Circles- Parts, Circumference & Area

Total questions: 15

Name
Class
Date
1.
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
2.
What is the circumference of this circle? (Round to the nearest whole number)
What is the circumference of this circle?  (Round to the nearest whole number)
a)
88 in
b)
44 in
c)
116  in
d)
80 inches
3.
The diameter of a circle is 3 centimeters. What is the circumference?
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
4.
The radius of the circle is 9 meters . What is the circle's circumference ?
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
5.
What is the diameter of this circle?
What is the diameter of this circle?
a)
88 in
b)
28 inches
c)
116 square in
d)
14 inches
6.
What is the name for the "perimeter" of a circle?
a)
Perimeter
b)
Gerald
c)
Circumference
d)
Diameter
7.
How long is the radius of this circle?
How long is the radius of this circle?
a)
4cm
b)
2cm
c)
8cm
d)
16cm
8.
What is true about this circle?
What is true about this circle?
a)
Radius is : DC
b)
Diameter is: BA
c)
Radius is :DE
d)
Diameter is: DC
9.
What is the radius of this circle?
What is the radius of this circle?
a)
5 in
b)
10 in
c)
3.14 in
d)
15.84 in
10.
Find the area of the circle. The radius is 7 cm.
Find the area of the circle.  The radius is 7 cm. 
a)
43.96 cm
b)
153.86 cm
c)
87.82 cm
d)
307.72 cm
11.
What is the area of a circle with a radius of 21 cm?
a)
1384.74 cm2
b)
2142.12 cm2
c)
4348.08 cm2
d)
1289.12 cm2
12.
What is the area of this circle?
What is the area of this circle?
a)
163.2 cm2
b)
15.3 cm2
c)
124.2 cm2
d)
113.1 cm
13.
What is the formula for circumference of a circle given the diameter?
a)
C = π(1/2 d)²
b)
C = 2πr
c)
C = πd
d)
C = πr²
14.
Find the area of the circle below.
Find the area of the circle below.
a)
100 cm
b)
225 cm
c)
9 cm
d)
28.26 cm
15.
The Jones family wants to enclose their circular garden with a fence. To the nearest foot, what is the minimum length of…
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)
246.2 ft
c)
365.56 ft
d)
392.5 ft
WaygroundAnswer Key

Circles- Parts, Circumference & Area

Total questions: 15

1.
b) 37.68 cm
2.
a) 88 in
3.
b) 9.42 cm2
4.
c) 56.52 meters
5.
b) 28 inches
6.
c) Circumference
7.
b) 2cm
8.
d) Diameter is: DC
9.
a) 5 in
10.
b) 153.86 cm
11.
a) 1384.74 cm2
12.
d) 113.1 cm
13.
c) C = πd
14.
d) 28.26 cm
15.
d) 392.5 ft

FAQs

What does this circles worksheet cover?

This Grade 6–7 worksheet uses 15 multiple-choice questions to practice identifying radius and diameter, recognizing circumference, choosing the circumference formula, and calculating both circumference and area. Students also interpret circle diagrams and apply circumference to determine the fencing needed around a circular garden, building accuracy with formulas, measurements, units, and rounding.

How can I use this worksheet to teach radius, diameter, circumference, and area?

Introduce the worksheet by reviewing how radius and diameter are related and how circumference differs from area. Work through one diagram-based identification item and one calculation together, asking students to explain why they selected a particular formula before completing the remaining multiple-choice questions. Use the circular-garden fencing problem as a closing discussion about when circumference represents the boundary being measured.

What mistakes should I watch for when students complete this circles worksheet?

Watch for students selecting radius when a diameter is shown, or confusing the diameter and radius labels in the diagram-based questions. Students may also use the area formula for circumference, forget to square the radius when finding area, or report linear units for area. Check the rounding in the circumference questions and have students verify whether the answer represents a boundary length or the space inside the circle.

How do I assign and grade this circles worksheet?

The worksheet is available as a printable PDF and as a digital quiz on Wayground, and it includes a complete answer key for the 15 multiple-choice questions. For printable submissions, you can grade student work by scanning it with the Wayground for Teachers app. The PDF option can also support schools that want to reduce screen time while students practice circle calculations.

How can I differentiate this circles worksheet for my students?

In the worksheet’s Advanced Settings, adjust font spacing and font size to make the circle diagrams, labels, and multiple-choice options easier to read. You can also enable a dyslexia-friendly font or translate the worksheet into another language, helping students access the radius, diameter, circumference, and area questions in a more usable format.

Where can I find more worksheets like this on Wayground?

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