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Circle Measurements Worksheet

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Circle Measurements Worksheet

Use the relationship between circumference, diameter and radius. Unless a question says otherwise, use π ≈ 3.14 and include units. Show your working for calculation questions.

Circle relationships

Choose the best answer for each question.

1.Which set contains the two correct formulas for circumference?
  • C = πd and C = 2πr
  • C = πr² and C = d ÷ 2
  • C = 2πd and C = r²
  • C = d + r and C = πr
2.A circle has a circumference of 43.96 cm. Using π ≈ 3.14, what is its diameter?
  • 7 cm
  • 14 cm
  • 22 cm
  • 28 cm
3.The circumference of a circle is 18π mm. What is its radius?
  • 9 mm
  • 18 mm
  • 36 mm
  • 6π mm
4.A circle has circumference 62.8 m. Which calculation gives its radius, using π ≈ 3.14?
  • 62.8 ÷ 3.14 ÷ 2
  • 62.8 × 3.14 ÷ 2
  • 62.8 ÷ 2
  • 62.8 ÷ 3.14 × 2

Match and calculate

Match each circumference to the diameter that goes with it. Use π in your calculations.

Calculate and explain

Find the diameter and radius, calculate circumference, or explain circle relationships as asked. Include units and show the steps for calculation questions.

5.A scooter wheel has a circumference of 157 cm. Find its diameter and radius using π ≈ 3.14.
6.A circular pond has a circumference of 31 m. Calculate its diameter and radius to two decimal places, using π ≈ 3.14.
7.A round table edge measures 21π cm around. Write the table's diameter and radius in terms of π.
8.A circular flower bed has a diameter of 8.5 m. What is its circumference? Give your answer to one decimal place using π ≈ 3.14.
9.In one or two sentences, explain why the ratio of a circle's circumference to its diameter is always π.

2 printable pages

  • Circle radius and diameter concepts, formula choices and matching circumference practice.

    Page 1

  • Worked calculations for finding circle diameter, radius and circumference.

    Page 2

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