Skip to content

Paper Together: sit a paper in a room with your friends.See how it works

Area and circumference of circles practice questions with answers

Foundation and Higher · Grade 3

A second set of area and circumference of circles questions for GCSE Maths. They are different from the ones on the topic page, so work through both. Try each question, then open the answer to check your working.

More questions

Question 1 Easy

A circle has diameter 8. Its area is a multiple of π. What is that multiple?

Show answer

Answer: 16π

  1. The radius is half the diameter: 8 ÷ 2 = 4.
  2. A = πr², so the multiple of π is 4 × 4 = 16.
  • Method (1): The radius is half the diameter: 8 ÷ 2 = 4.
  • Accuracy (1): Answer 16π

Question 2 Easy

The circumference of a circle of radius 4 is a multiple of π. What is that multiple?

Show answer

Answer: 8π

  1. C = 2πr, so the multiple of π is 2 × 4.
  2. 2 × 4 = 8.
  • Method (1): C = 2πr, so the multiple of π is 2 × 4.
  • Accuracy (1): Answer 8π

Question 3 Medium

The circumference of a circle of radius 5 is a multiple of π. What is that multiple?

Show answer

Answer: 10π

  1. C = 2πr, so the multiple of π is 2 × 5.
  2. 2 × 5 = 10.
  • Method (1): C = 2πr, so the multiple of π is 2 × 5.
  • Accuracy (1): Answer 10π

Question 4 Medium

The area of a circle of radius 6 is a multiple of π. What is that multiple?

Show answer

Answer: 36π

  1. A = πr², so the multiple of π is 6 × 6.
  2. 6 × 6 = 36.
  • Method (1): A = πr², so the multiple of π is 6 × 6.
  • Accuracy (1): Answer 36π

Question 5 Hard

The area of a circle of radius 7 is a multiple of π. What is that multiple?

Show answer

Answer: 49π

  1. A = πr², so the multiple of π is 7 × 7.
  2. 7 × 7 = 49.
  • Method (1): A = πr², so the multiple of π is 7 × 7.
  • Accuracy (1): Answer 49π

Question 6 Hard

A circle has diameter 14. Its area is a multiple of π. What is that multiple?

Show answer

Answer: 49π

  1. The radius is half the diameter: 14 ÷ 2 = 7.
  2. A = πr², so the multiple of π is 7 × 7 = 49.
  • Method (1): The radius is half the diameter: 14 ÷ 2 = 7.
  • Accuracy (1): Answer 49π

Exam-style question

A longer question with marks, in the style of a written paper. This is a Yumio practice question, not a past paper question.

Exam-style question 12 marks

The area of a circle of radius 8 is a multiple of π. What is that multiple?

Show answer

Answer: 64π

  1. A = πr², so the multiple of π is 8 × 8.
  2. 8 × 8 = 64.
  3. The area is 64π.
  • Method (1): A = πr², so the multiple of π is 8 × 8.
  • Accuracy (1): Answer 64π

Quick checks

Short one-step questions. Pick an option before you open the answer.

Check 1

A circle has diameter 18. Its area is a multiple of π. What is that multiple?

  1. 81π
  2. 324π
  3. 18π
Show answer

81π The result is 81π.

Check 2

The circumference of a circle of radius 9 is a multiple of π. What is that multiple?

  1. 18π
  2. 81π
  3. 9π
Show answer

18π The result is 18π.

Check 3

The area of a circle of radius 10 is a multiple of π. What is that multiple?

  1. 100π
  2. 20π
  3. 10π
Show answer

100π The result is 100π.

Check 4

A circle has diameter 20. Its area is a multiple of π. What is that multiple?

  1. 100π
  2. 400π
  3. 20π
Show answer

100π The result is 100π.

Check 5

The circumference of a circle of radius 10 is a multiple of π. What is that multiple?

  1. 20π
  2. 100π
  3. 10π
Show answer

20π The result is 20π.

Check 6

The area of a circle of radius 11 is a multiple of π. What is that multiple?

  1. 121π
  2. 22π
  3. 11π
Show answer

121π The result is 121π.

Check 7

A circle has diameter 22. Its area is a multiple of π. What is that multiple?

  1. 121π
  2. 484π
  3. 22π
Show answer

121π The result is 121π.

Check 8

The circumference of a circle of radius 11 is a multiple of π. What is that multiple?

  1. 22π
  2. 121π
  3. 11π
Show answer

22π The result is 22π.

Check 9

The area of a circle of radius 12 is a multiple of π. What is that multiple?

  1. 144π
  2. 24π
  3. 12π
Show answer

144π The result is 144π.

Check 10

A circle has diameter 24. Its area is a multiple of π. What is that multiple?

  1. 144π
  2. 576π
  3. 24π
Show answer

144π The result is 144π.

Check 11

The circumference of a circle of radius 12 is a multiple of π. What is that multiple?

  1. 24π
  2. 144π
  3. 12π
Show answer

24π The result is 24π.

Check 12

The area of a circle of radius 13 is a multiple of π. What is that multiple?

  1. 169π
  2. 26π
  3. 13π
Show answer

169π The result is 169π.

Check 13

A circle has diameter 26. Its area is a multiple of π. What is that multiple?

  1. 169π
  2. 676π
  3. 26π
Show answer

169π The result is 169π.

Check 14

The circumference of a circle of radius 13 is a multiple of π. What is that multiple?

  1. 26π
  2. 169π
  3. 13π
Show answer

26π The result is 26π.

Check 15

The area of a circle of radius 14 is a multiple of π. What is that multiple?

  1. 196π
  2. 28π
  3. 14π
Show answer

196π The result is 196π.

Keep going with Area and circumference of circles

Practise free

Start free

AQA-style and Edexcel-style questions. Yumio is not affiliated with, endorsed by or connected to AQA, Pearson Edexcel or any other exam board.

Next topicPractise free