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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 20 cm. Using π = 3.14, find its circumference.

    20 cm · 3.14 · Circle circumference & area

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

    6 cm · 3.14 · Circle circumference & area

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

    18 cm · 3.14 · Circle circumference & area

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

    7 cm · 3.14 · Circle circumference & area

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

    8 cm · 3.14 · Circle circumference & area

  6. 6. A circle has radius 19 cm. Using π = 3.14, find its circumference.

    19 cm · 3.14 · Circle circumference & area

  7. 7. A circle has radius 8 cm. Using π = 3.14, find its area.

    8 cm · 3.14 · Circle circumference & area

  8. 8. A circle has radius 4 cm. Using π = 3.14, find its circumference.

    4 cm · 3.14 · Circle circumference & area

  9. 9. A circle has radius 17 cm. Using π = 3.14, find its area.

    17 cm · 3.14 · Circle circumference & area

  10. 10. A circle has radius 7 cm. Using π = 3.14, find its circumference.

    7 cm · 3.14 · Circle circumference & area

  11. 11. A circle has radius 17 cm. Using π = 3.14, find its circumference.

    17 cm · 3.14 · Circle circumference & area

  12. 12. A circle has radius 10 cm. Using π = 3.14, find its area.

    10 cm · 3.14 · Circle circumference & area
12 questions · Seed 46 · 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 20 cm. Using π = 3.14, find its circumference.

    125.6 cm

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

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

    37.68 cm

    Circumference C = 2πr = 2 × 3.14 × 6 = 37.68 cm.

  3. 3. 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.

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

    153.86 cm²

    Area A = πr² = 3.14 × 7² = 153.86 cm².

  5. 5. 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.

  6. 6. A circle has radius 19 cm. Using π = 3.14, find its circumference.

    119.32 cm

    Circumference C = 2πr = 2 × 3.14 × 19 = 119.32 cm.

  7. 7. A circle has radius 8 cm. Using π = 3.14, find its area.

    200.96 cm²

    Area A = πr² = 3.14 × 8² = 200.96 cm².

  8. 8. A circle has radius 4 cm. Using π = 3.14, find its circumference.

    25.12 cm

    Circumference C = 2πr = 2 × 3.14 × 4 = 25.12 cm.

  9. 9. A circle has radius 17 cm. Using π = 3.14, find its area.

    907.46 cm²

    Area A = πr² = 3.14 × 17² = 907.46 cm².

  10. 10. A circle has radius 7 cm. Using π = 3.14, find its circumference.

    43.96 cm

    Circumference C = 2πr = 2 × 3.14 × 7 = 43.96 cm.

  11. 11. A circle has radius 17 cm. Using π = 3.14, find its circumference.

    106.76 cm

    Circumference C = 2πr = 2 × 3.14 × 17 = 106.76 cm.

  12. 12. A circle has radius 10 cm. Using π = 3.14, find its area.

    314 cm²

    Area A = πr² = 3.14 × 10² = 314 cm².

12 questions · Seed 46 · 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 20 cm. Using π = 3.14, find its circumference.

    20 cm · 3.14 · Circle circumference & area

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

    6 cm · 3.14 · Circle circumference & area

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

    18 cm · 3.14 · Circle circumference & area

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

    7 cm · 3.14 · Circle circumference & area

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

    8 cm · 3.14 · Circle circumference & area

  6. 6. A circle has radius 19 cm. Using π = 3.14, find its circumference.

    19 cm · 3.14 · Circle circumference & area

  7. 7. A circle has radius 8 cm. Using π = 3.14, find its area.

    8 cm · 3.14 · Circle circumference & area

  8. 8. A circle has radius 4 cm. Using π = 3.14, find its circumference.

    4 cm · 3.14 · Circle circumference & area

  9. 9. A circle has radius 17 cm. Using π = 3.14, find its area.

    17 cm · 3.14 · Circle circumference & area

  10. 10. A circle has radius 7 cm. Using π = 3.14, find its circumference.

    7 cm · 3.14 · Circle circumference & area

  11. 11. A circle has radius 17 cm. Using π = 3.14, find its circumference.

    17 cm · 3.14 · Circle circumference & area

  12. 12. A circle has radius 10 cm. Using π = 3.14, find its area.

    10 cm · 3.14 · Circle circumference & area
12 questions · Seed 46 · 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 20 cm. Using π = 3.14, find its circumference.

    125.6 cm

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

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

    37.68 cm

    Circumference C = 2πr = 2 × 3.14 × 6 = 37.68 cm.

  3. 3. 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.

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

    153.86 cm²

    Area A = πr² = 3.14 × 7² = 153.86 cm².

  5. 5. 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.

  6. 6. A circle has radius 19 cm. Using π = 3.14, find its circumference.

    119.32 cm

    Circumference C = 2πr = 2 × 3.14 × 19 = 119.32 cm.

  7. 7. A circle has radius 8 cm. Using π = 3.14, find its area.

    200.96 cm²

    Area A = πr² = 3.14 × 8² = 200.96 cm².

  8. 8. A circle has radius 4 cm. Using π = 3.14, find its circumference.

    25.12 cm

    Circumference C = 2πr = 2 × 3.14 × 4 = 25.12 cm.

  9. 9. A circle has radius 17 cm. Using π = 3.14, find its area.

    907.46 cm²

    Area A = πr² = 3.14 × 17² = 907.46 cm².

  10. 10. A circle has radius 7 cm. Using π = 3.14, find its circumference.

    43.96 cm

    Circumference C = 2πr = 2 × 3.14 × 7 = 43.96 cm.

  11. 11. A circle has radius 17 cm. Using π = 3.14, find its circumference.

    106.76 cm

    Circumference C = 2πr = 2 × 3.14 × 17 = 106.76 cm.

  12. 12. A circle has radius 10 cm. Using π = 3.14, find its area.

    314 cm²

    Area A = πr² = 3.14 × 10² = 314 cm².

12 questions · Seed 46 · Age guidance, not curriculum certification