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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 10 cm. Using π = 3.14, find its area.

    10 cm · 3.14 · Circle circumference & area

  2. 2. A circle has radius 15 cm. Using π = 3.14, find its circumference.

    15 cm · 3.14 · Circle circumference & area

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

    17 cm · 3.14 · Circle circumference & area

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

    20 cm · 3.14 · Circle circumference & area

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

    12 cm · 3.14 · Circle circumference & area

  6. 6. A circle has radius 20 cm. Using π = 3.14, find its area.

    20 cm · 3.14 · Circle circumference & area

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

    15 cm · 3.14 · Circle circumference & area

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

    6 cm · 3.14 · Circle circumference & area

  9. 9. A circle has radius 19 cm. Using π = 3.14, find its area.

    19 cm · 3.14 · Circle circumference & area

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

    4 cm · 3.14 · Circle circumference & area

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

    5 cm · 3.14 · Circle circumference & area

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

    18 cm · 3.14 · Circle circumference & area
12 questions · Seed 58 · 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 10 cm. Using π = 3.14, find its area.

    314 cm²

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

  2. 2. A circle has radius 15 cm. Using π = 3.14, find its circumference.

    94.2 cm

    Circumference C = 2πr = 2 × 3.14 × 15 = 94.2 cm.

  3. 3. 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.

  4. 4. 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.

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

    75.36 cm

    Circumference C = 2πr = 2 × 3.14 × 12 = 75.36 cm.

  6. 6. A circle has radius 20 cm. Using π = 3.14, find its area.

    1256 cm²

    Area A = πr² = 3.14 × 20² = 1256 cm².

  7. 7. 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.

  8. 8. 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.

  9. 9. A circle has radius 19 cm. Using π = 3.14, find its area.

    1133.54 cm²

    Area A = πr² = 3.14 × 19² = 1133.54 cm².

  10. 10. 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.

  11. 11. 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.

  12. 12. 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.

12 questions · Seed 58 · 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 10 cm. Using π = 3.14, find its area.

    10 cm · 3.14 · Circle circumference & area

  2. 2. A circle has radius 15 cm. Using π = 3.14, find its circumference.

    15 cm · 3.14 · Circle circumference & area

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

    17 cm · 3.14 · Circle circumference & area

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

    20 cm · 3.14 · Circle circumference & area

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

    12 cm · 3.14 · Circle circumference & area

  6. 6. A circle has radius 20 cm. Using π = 3.14, find its area.

    20 cm · 3.14 · Circle circumference & area

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

    15 cm · 3.14 · Circle circumference & area

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

    6 cm · 3.14 · Circle circumference & area

  9. 9. A circle has radius 19 cm. Using π = 3.14, find its area.

    19 cm · 3.14 · Circle circumference & area

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

    4 cm · 3.14 · Circle circumference & area

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

    5 cm · 3.14 · Circle circumference & area

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

    18 cm · 3.14 · Circle circumference & area
12 questions · Seed 58 · 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 10 cm. Using π = 3.14, find its area.

    314 cm²

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

  2. 2. A circle has radius 15 cm. Using π = 3.14, find its circumference.

    94.2 cm

    Circumference C = 2πr = 2 × 3.14 × 15 = 94.2 cm.

  3. 3. 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.

  4. 4. 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.

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

    75.36 cm

    Circumference C = 2πr = 2 × 3.14 × 12 = 75.36 cm.

  6. 6. A circle has radius 20 cm. Using π = 3.14, find its area.

    1256 cm²

    Area A = πr² = 3.14 × 20² = 1256 cm².

  7. 7. 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.

  8. 8. 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.

  9. 9. A circle has radius 19 cm. Using π = 3.14, find its area.

    1133.54 cm²

    Area A = πr² = 3.14 × 19² = 1133.54 cm².

  10. 10. 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.

  11. 11. 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.

  12. 12. 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.

12 questions · Seed 58 · Age guidance, not curriculum certification