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MathsAges 16-18

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 16-18

Circle circumference & area

Take your time. Show your thinking.

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

    5 cm · 3.14 · Circle circumference & area

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

    3 cm · 3.14 · Circle circumference & area

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

    16 cm · 3.14 · Circle circumference & area

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

    10 cm · 3.14 · Circle circumference & area

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

    12 cm · 3.14 · Circle circumference & area

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

    5 cm · 3.14 · Circle circumference & area

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

    13 cm · 3.14 · Circle circumference & area

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

    6 cm · 3.14 · Circle circumference & area

  9. 9. A circle has radius 18 cm. Using π = 3.14, find its circumference.

    18 cm · 3.14 · Circle circumference & area

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

    9 cm · 3.14 · Circle circumference & area

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

    2 cm · 3.14 · Circle circumference & area

  12. 12. A circle has radius 15 cm. Using π = 3.14, find its area.

    15 cm · 3.14 · Circle circumference & area
12 questions · Seed 52 · Age guidance, not curriculum certification
View the answer key
Worksheet StudioAnswer key · Ages 16-18

Circle circumference & area

Answers and reasoning. Review before teaching.

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

    31.4 cm

    Circumference C = 2πr = 2 × 3.14 × 5 = 31.4 cm.

  2. 2. 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.

  3. 3. 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.

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

    314 cm²

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

  5. 5. 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.

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

    78.5 cm²

    Area A = πr² = 3.14 × 5² = 78.5 cm².

  7. 7. 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.

  8. 8. 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.

  9. 9. A circle has radius 18 cm. Using π = 3.14, find its circumference.

    113.04 cm

    Circumference C = 2πr = 2 × 3.14 × 18 = 113.04 cm.

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

    254.34 cm²

    Area A = πr² = 3.14 × 9² = 254.34 cm².

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

    12.56 cm²

    Area A = πr² = 3.14 × 2² = 12.56 cm².

  12. 12. A circle has radius 15 cm. Using π = 3.14, find its area.

    706.5 cm²

    Area A = πr² = 3.14 × 15² = 706.5 cm².

12 questions · Seed 52 · Age guidance, not curriculum certification
Worksheet StudioPractice pack · Ages 16-18

Circle circumference & area

Take your time. Show your thinking.

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

    5 cm · 3.14 · Circle circumference & area

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

    3 cm · 3.14 · Circle circumference & area

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

    16 cm · 3.14 · Circle circumference & area

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

    10 cm · 3.14 · Circle circumference & area

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

    12 cm · 3.14 · Circle circumference & area

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

    5 cm · 3.14 · Circle circumference & area

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

    13 cm · 3.14 · Circle circumference & area

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

    6 cm · 3.14 · Circle circumference & area

  9. 9. A circle has radius 18 cm. Using π = 3.14, find its circumference.

    18 cm · 3.14 · Circle circumference & area

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

    9 cm · 3.14 · Circle circumference & area

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

    2 cm · 3.14 · Circle circumference & area

  12. 12. A circle has radius 15 cm. Using π = 3.14, find its area.

    15 cm · 3.14 · Circle circumference & area
12 questions · Seed 52 · Age guidance, not curriculum certification
Worksheet StudioAnswer key · Ages 16-18

Circle circumference & area

Answers and reasoning. Review before teaching.

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

    31.4 cm

    Circumference C = 2πr = 2 × 3.14 × 5 = 31.4 cm.

  2. 2. 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.

  3. 3. 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.

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

    314 cm²

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

  5. 5. 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.

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

    78.5 cm²

    Area A = πr² = 3.14 × 5² = 78.5 cm².

  7. 7. 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.

  8. 8. 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.

  9. 9. A circle has radius 18 cm. Using π = 3.14, find its circumference.

    113.04 cm

    Circumference C = 2πr = 2 × 3.14 × 18 = 113.04 cm.

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

    254.34 cm²

    Area A = πr² = 3.14 × 9² = 254.34 cm².

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

    12.56 cm²

    Area A = πr² = 3.14 × 2² = 12.56 cm².

  12. 12. A circle has radius 15 cm. Using π = 3.14, find its area.

    706.5 cm²

    Area A = πr² = 3.14 × 15² = 706.5 cm².

12 questions · Seed 52 · Age guidance, not curriculum certification