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 13-15 Ages 16-18

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Worksheet StudioPractice pack · Ages 13-15

Circle circumference & area

Take your time. Show your thinking.

1. A circle has radius 18 cm. Using π = 3.14, find its circumference.
18 cm · 3.14 · Circle circumference & area
2. A circle has radius 15 cm. Using π = 3.14, find its circumference.
15 cm · 3.14 · Circle circumference & area
3. A circle has radius 13 cm. Using π = 3.14, find its circumference.
13 cm · 3.14 · Circle circumference & area
4. A circle has radius 19 cm. Using π = 3.14, find its circumference.
19 cm · 3.14 · Circle circumference & area
5. A circle has radius 9 cm. Using π = 3.14, find its circumference.
9 cm · 3.14 · Circle circumference & area
6. A circle has radius 4 cm. Using π = 3.14, find its circumference.
4 cm · 3.14 · Circle circumference & area
7. A circle has radius 11 cm. Using π = 3.14, find its circumference.
11 cm · 3.14 · Circle circumference & area
8. A circle has radius 3 cm. Using π = 3.14, find its circumference.
3 cm · 3.14 · Circle circumference & area
9. A circle has radius 13 cm. Using π = 3.14, find its area.
13 cm · 3.14 · Circle circumference & area
10. A circle has radius 17 cm. Using π = 3.14, find its circumference.
17 cm · 3.14 · Circle circumference & area
11. A circle has radius 6 cm. Using π = 3.14, find its area.
6 cm · 3.14 · Circle circumference & area
12. A circle has radius 5 cm. Using π = 3.14, find its area.
5 cm · 3.14 · Circle circumference & area

12 questions · Seed 61 · 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. 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.
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. 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.
4. 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.
5. 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.
6. 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.
7. 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.
8. 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.
9. A circle has radius 13 cm. Using π = 3.14, find its area.
530.66 cm²
Area A = πr² = 3.14 × 13² = 530.66 cm².
10. 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.
11. 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.
12. 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 questions · Seed 61 · Age guidance, not curriculum certification

Worksheet StudioPractice pack · Ages 13-15

Circle circumference & area

Take your time. Show your thinking.

1. A circle has radius 18 cm. Using π = 3.14, find its circumference.
18 cm · 3.14 · Circle circumference & area
2. A circle has radius 15 cm. Using π = 3.14, find its circumference.
15 cm · 3.14 · Circle circumference & area
3. A circle has radius 13 cm. Using π = 3.14, find its circumference.
13 cm · 3.14 · Circle circumference & area
4. A circle has radius 19 cm. Using π = 3.14, find its circumference.
19 cm · 3.14 · Circle circumference & area
5. A circle has radius 9 cm. Using π = 3.14, find its circumference.
9 cm · 3.14 · Circle circumference & area
6. A circle has radius 4 cm. Using π = 3.14, find its circumference.
4 cm · 3.14 · Circle circumference & area
7. A circle has radius 11 cm. Using π = 3.14, find its circumference.
11 cm · 3.14 · Circle circumference & area
8. A circle has radius 3 cm. Using π = 3.14, find its circumference.
3 cm · 3.14 · Circle circumference & area
9. A circle has radius 13 cm. Using π = 3.14, find its area.
13 cm · 3.14 · Circle circumference & area
10. A circle has radius 17 cm. Using π = 3.14, find its circumference.
17 cm · 3.14 · Circle circumference & area
11. A circle has radius 6 cm. Using π = 3.14, find its area.
6 cm · 3.14 · Circle circumference & area
12. A circle has radius 5 cm. Using π = 3.14, find its area.
5 cm · 3.14 · Circle circumference & area

12 questions · Seed 61 · Age guidance, not curriculum certification

Worksheet StudioAnswer key · Ages 13-15

Circle circumference & area

Answers and reasoning. Review before teaching.

1. 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.
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. 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.
4. 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.
5. 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.
6. 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.
7. 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.
8. 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.
9. A circle has radius 13 cm. Using π = 3.14, find its area.
530.66 cm²
Area A = πr² = 3.14 × 13² = 530.66 cm².
10. 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.
11. 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.
12. 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 questions · Seed 61 · Age guidance, not curriculum certification