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MathsAges 13-15

Circle circumference & area

Use π ≈ 3.14 and radius r to calculate the circumference or area of a circle. Review suitability for your learners before teaching.

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Age band:Ages 13-15Ages 16-18

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Worksheet StudioPractice pack · Ages 13-15

Circle circumference & area

Take your time. Show your thinking.

  1. 1. A circle has radius 6 cm. Using π = 3.14, find its area.

    6 cm · 3.14 · Circle circumference & area

  2. 2. A circle has radius 11 cm. Using π = 3.14, find its circumference.

    11 cm · 3.14 · Circle circumference & area

  3. 3. A circle has radius 20 cm. Using π = 3.14, find its circumference.

    20 cm · 3.14 · Circle circumference & area

  4. 4. A circle has radius 12 cm. Using π = 3.14, find its area.

    12 cm · 3.14 · Circle circumference & area

  5. 5. A circle has radius 14 cm. Using π = 3.14, find its area.

    14 cm · 3.14 · Circle circumference & area

  6. 6. A circle has radius 3 cm. Using π = 3.14, find its circumference.

    3 cm · 3.14 · Circle circumference & area

  7. 7. A circle has radius 18 cm. Using π = 3.14, find its area.

    18 cm · 3.14 · Circle circumference & area

  8. 8. A circle has radius 9 cm. Using π = 3.14, find its circumference.

    9 cm · 3.14 · Circle circumference & area

  9. 9. A circle has radius 10 cm. Using π = 3.14, find its circumference.

    10 cm · 3.14 · Circle circumference & area

  10. 10. A circle has radius 13 cm. Using π = 3.14, find its circumference.

    13 cm · 3.14 · Circle circumference & area

  11. 11. A circle has radius 8 cm. Using π = 3.14, find its circumference.

    8 cm · 3.14 · Circle circumference & area

  12. 12. A circle has radius 16 cm. Using π = 3.14, find its circumference.

    16 cm · 3.14 · Circle circumference & area
12 questions · Seed 65 · Age guidance, not curriculum certification
View the answer key
Worksheet StudioAnswer key · Ages 13-15

Circle circumference & area

Answers and reasoning. Review before teaching.

  1. 1. A circle has radius 6 cm. Using π = 3.14, find its area.

    113.04 cm²

    Area A = πr² = 3.14 × 6² = 113.04 cm².

  2. 2. A circle has radius 11 cm. Using π = 3.14, find its circumference.

    69.08 cm

    Circumference C = 2πr = 2 × 3.14 × 11 = 69.08 cm.

  3. 3. A circle has radius 20 cm. Using π = 3.14, find its circumference.

    125.6 cm

    Circumference C = 2πr = 2 × 3.14 × 20 = 125.6 cm.

  4. 4. A circle has radius 12 cm. Using π = 3.14, find its area.

    452.16 cm²

    Area A = πr² = 3.14 × 12² = 452.16 cm².

  5. 5. A circle has radius 14 cm. Using π = 3.14, find its area.

    615.44 cm²

    Area A = πr² = 3.14 × 14² = 615.44 cm².

  6. 6. A circle has radius 3 cm. Using π = 3.14, find its circumference.

    18.84 cm

    Circumference C = 2πr = 2 × 3.14 × 3 = 18.84 cm.

  7. 7. A circle has radius 18 cm. Using π = 3.14, find its area.

    1017.36 cm²

    Area A = πr² = 3.14 × 18² = 1017.36 cm².

  8. 8. A circle has radius 9 cm. Using π = 3.14, find its circumference.

    56.52 cm

    Circumference C = 2πr = 2 × 3.14 × 9 = 56.52 cm.

  9. 9. A circle has radius 10 cm. Using π = 3.14, find its circumference.

    62.8 cm

    Circumference C = 2πr = 2 × 3.14 × 10 = 62.8 cm.

  10. 10. A circle has radius 13 cm. Using π = 3.14, find its circumference.

    81.64 cm

    Circumference C = 2πr = 2 × 3.14 × 13 = 81.64 cm.

  11. 11. A circle has radius 8 cm. Using π = 3.14, find its circumference.

    50.24 cm

    Circumference C = 2πr = 2 × 3.14 × 8 = 50.24 cm.

  12. 12. A circle has radius 16 cm. Using π = 3.14, find its circumference.

    100.48 cm

    Circumference C = 2πr = 2 × 3.14 × 16 = 100.48 cm.

12 questions · Seed 65 · Age guidance, not curriculum certification
Worksheet StudioPractice pack · Ages 13-15

Circle circumference & area

Take your time. Show your thinking.

  1. 1. A circle has radius 6 cm. Using π = 3.14, find its area.

    6 cm · 3.14 · Circle circumference & area

  2. 2. A circle has radius 11 cm. Using π = 3.14, find its circumference.

    11 cm · 3.14 · Circle circumference & area

  3. 3. A circle has radius 20 cm. Using π = 3.14, find its circumference.

    20 cm · 3.14 · Circle circumference & area

  4. 4. A circle has radius 12 cm. Using π = 3.14, find its area.

    12 cm · 3.14 · Circle circumference & area

  5. 5. A circle has radius 14 cm. Using π = 3.14, find its area.

    14 cm · 3.14 · Circle circumference & area

  6. 6. A circle has radius 3 cm. Using π = 3.14, find its circumference.

    3 cm · 3.14 · Circle circumference & area

  7. 7. A circle has radius 18 cm. Using π = 3.14, find its area.

    18 cm · 3.14 · Circle circumference & area

  8. 8. A circle has radius 9 cm. Using π = 3.14, find its circumference.

    9 cm · 3.14 · Circle circumference & area

  9. 9. A circle has radius 10 cm. Using π = 3.14, find its circumference.

    10 cm · 3.14 · Circle circumference & area

  10. 10. A circle has radius 13 cm. Using π = 3.14, find its circumference.

    13 cm · 3.14 · Circle circumference & area

  11. 11. A circle has radius 8 cm. Using π = 3.14, find its circumference.

    8 cm · 3.14 · Circle circumference & area

  12. 12. A circle has radius 16 cm. Using π = 3.14, find its circumference.

    16 cm · 3.14 · Circle circumference & area
12 questions · Seed 65 · Age guidance, not curriculum certification
Worksheet StudioAnswer key · Ages 13-15

Circle circumference & area

Answers and reasoning. Review before teaching.

  1. 1. A circle has radius 6 cm. Using π = 3.14, find its area.

    113.04 cm²

    Area A = πr² = 3.14 × 6² = 113.04 cm².

  2. 2. A circle has radius 11 cm. Using π = 3.14, find its circumference.

    69.08 cm

    Circumference C = 2πr = 2 × 3.14 × 11 = 69.08 cm.

  3. 3. A circle has radius 20 cm. Using π = 3.14, find its circumference.

    125.6 cm

    Circumference C = 2πr = 2 × 3.14 × 20 = 125.6 cm.

  4. 4. A circle has radius 12 cm. Using π = 3.14, find its area.

    452.16 cm²

    Area A = πr² = 3.14 × 12² = 452.16 cm².

  5. 5. A circle has radius 14 cm. Using π = 3.14, find its area.

    615.44 cm²

    Area A = πr² = 3.14 × 14² = 615.44 cm².

  6. 6. A circle has radius 3 cm. Using π = 3.14, find its circumference.

    18.84 cm

    Circumference C = 2πr = 2 × 3.14 × 3 = 18.84 cm.

  7. 7. A circle has radius 18 cm. Using π = 3.14, find its area.

    1017.36 cm²

    Area A = πr² = 3.14 × 18² = 1017.36 cm².

  8. 8. A circle has radius 9 cm. Using π = 3.14, find its circumference.

    56.52 cm

    Circumference C = 2πr = 2 × 3.14 × 9 = 56.52 cm.

  9. 9. A circle has radius 10 cm. Using π = 3.14, find its circumference.

    62.8 cm

    Circumference C = 2πr = 2 × 3.14 × 10 = 62.8 cm.

  10. 10. A circle has radius 13 cm. Using π = 3.14, find its circumference.

    81.64 cm

    Circumference C = 2πr = 2 × 3.14 × 13 = 81.64 cm.

  11. 11. A circle has radius 8 cm. Using π = 3.14, find its circumference.

    50.24 cm

    Circumference C = 2πr = 2 × 3.14 × 8 = 50.24 cm.

  12. 12. A circle has radius 16 cm. Using π = 3.14, find its circumference.

    100.48 cm

    Circumference C = 2πr = 2 × 3.14 × 16 = 100.48 cm.

12 questions · Seed 65 · Age guidance, not curriculum certification