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.

New variation Try interactive challenge Browse templates

Age band:Ages 13-15 Ages 16-18

Choose “Save as PDF” to keep a copy. Use your browser’s paper setting for A4 or Letter.

Worksheet StudioPractice pack · Ages 13-15

Circle circumference & area

Take your time. Show your thinking.

1. A circle has radius 11 cm. Using π = 3.14, find its area.
11 cm · 3.14 · Circle circumference & area
2. A circle has radius 14 cm. Using π = 3.14, find its area.
14 cm · 3.14 · Circle circumference & area
3. A circle has radius 15 cm. Using π = 3.14, find its circumference.
15 cm · 3.14 · Circle circumference & area
4. A circle has radius 8 cm. Using π = 3.14, find its circumference.
8 cm · 3.14 · Circle circumference & area
5. A circle has radius 6 cm. Using π = 3.14, find its area.
6 cm · 3.14 · Circle circumference & area
6. A circle has radius 2 cm. Using π = 3.14, find its area.
2 cm · 3.14 · Circle circumference & area
7. A circle has radius 8 cm. Using π = 3.14, find its area.
8 cm · 3.14 · Circle circumference & area
8. A circle has radius 10 cm. Using π = 3.14, find its area.
10 cm · 3.14 · Circle circumference & area
9. A circle has radius 6 cm. Using π = 3.14, find its circumference.
6 cm · 3.14 · Circle circumference & area
10. A circle has radius 19 cm. Using π = 3.14, find its circumference.
19 cm · 3.14 · Circle circumference & area
11. A circle has radius 2 cm. Using π = 3.14, find its circumference.
2 cm · 3.14 · Circle circumference & area
12. A circle has radius 20 cm. Using π = 3.14, find its area.
20 cm · 3.14 · Circle circumference & area

12 questions · Seed 53 · 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 11 cm. Using π = 3.14, find its area.
379.94 cm²
Area A = πr² = 3.14 × 11² = 379.94 cm².
2. 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.
3. 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.
4. 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.
5. 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.
6. 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.
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. A circle has radius 10 cm. Using π = 3.14, find its area.
314 cm²
Area A = πr² = 3.14 × 10² = 314 cm².
9. 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.
10. 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.
11. A circle has radius 2 cm. Using π = 3.14, find its circumference.
12.56 cm
Circumference C = 2πr = 2 × 3.14 × 2 = 12.56 cm.
12. A circle has radius 20 cm. Using π = 3.14, find its area.
1256 cm²
Area A = πr² = 3.14 × 20² = 1256 cm².

12 questions · Seed 53 · 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 11 cm. Using π = 3.14, find its area.
11 cm · 3.14 · Circle circumference & area
2. A circle has radius 14 cm. Using π = 3.14, find its area.
14 cm · 3.14 · Circle circumference & area
3. A circle has radius 15 cm. Using π = 3.14, find its circumference.
15 cm · 3.14 · Circle circumference & area
4. A circle has radius 8 cm. Using π = 3.14, find its circumference.
8 cm · 3.14 · Circle circumference & area
5. A circle has radius 6 cm. Using π = 3.14, find its area.
6 cm · 3.14 · Circle circumference & area
6. A circle has radius 2 cm. Using π = 3.14, find its area.
2 cm · 3.14 · Circle circumference & area
7. A circle has radius 8 cm. Using π = 3.14, find its area.
8 cm · 3.14 · Circle circumference & area
8. A circle has radius 10 cm. Using π = 3.14, find its area.
10 cm · 3.14 · Circle circumference & area
9. A circle has radius 6 cm. Using π = 3.14, find its circumference.
6 cm · 3.14 · Circle circumference & area
10. A circle has radius 19 cm. Using π = 3.14, find its circumference.
19 cm · 3.14 · Circle circumference & area
11. A circle has radius 2 cm. Using π = 3.14, find its circumference.
2 cm · 3.14 · Circle circumference & area
12. A circle has radius 20 cm. Using π = 3.14, find its area.
20 cm · 3.14 · Circle circumference & area

12 questions · Seed 53 · 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 11 cm. Using π = 3.14, find its area.
379.94 cm²
Area A = πr² = 3.14 × 11² = 379.94 cm².
2. 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.
3. 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.
4. 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.
5. 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.
6. 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.
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. A circle has radius 10 cm. Using π = 3.14, find its area.
314 cm²
Area A = πr² = 3.14 × 10² = 314 cm².
9. 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.
10. 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.
11. A circle has radius 2 cm. Using π = 3.14, find its circumference.
12.56 cm
Circumference C = 2πr = 2 × 3.14 × 2 = 12.56 cm.
12. A circle has radius 20 cm. Using π = 3.14, find its area.
1256 cm²
Area A = πr² = 3.14 × 20² = 1256 cm².

12 questions · Seed 53 · Age guidance, not curriculum certification