Year 6 Circumference and Area of Circles Worksheet — Level 3 — Answers
Answer sheet with worked solutions for the Year 6 area & perimeter worksheet.
Success TutoringWorksheetsAnswer sheetYear 6 · Mathematics · Area & PerimeterYear 6 Circumference and Area of Circles Worksheet — Level 3 — Answers
Show your working. Use the π button on your calculator and round to 1 decimal place unless told otherwise.
1.A circle has a radius of 6 cm. Find its area, correct to 1 decimal place.
Answer: 113.1 cm2
- A = π × r2 = π × 62 = π × 36
- ≈ 113.1 cm2
2.Find the area of a semicircle with a radius of 10 cm, correct to 1 decimal place.
Answer: 157.1 cm2
- A = ½ × π × r2 = ½ × π × 100
- ≈ 157.1 cm2
3.Find the area of a semicircle with a radius of 19 cm, correct to 1 decimal place.
Answer: 567.1 cm2
- A = ½ × π × r2 = ½ × π × 361
- ≈ 567.1 cm2
4.A circle has a radius of 4 cm. Find its area, correct to 1 decimal place.
Answer: 50.3 cm2
- A = π × r2 = π × 42 = π × 16
- ≈ 50.3 cm2
5.Find the area of a semicircle with a radius of 6 cm, correct to 1 decimal place.
Answer: 56.5 cm2
- A = ½ × π × r2 = ½ × π × 36
- ≈ 56.5 cm2
6.A circle has a circumference of 12π cm. Find its radius and its area (leave the area in terms of π).
Answer: r = 6 cm; A = 36π cm2
- C = 2πr, so 2πr = 12π
- r = 6 cm
- A = πr2 = 36π cm2
7.A circle has a diameter of 40 cm. Find its area, correct to 1 decimal place.
Answer: 1256.6 cm2
- r = 40 ÷ 2 = 20 cm
- A = π × r2 = π × 202 = π × 400
- ≈ 1256.6 cm2
8.A circle has a radius of 13 cm. Find its area, correct to 1 decimal place.
Answer: 530.9 cm2
- A = π × r2 = π × 132 = π × 169
- ≈ 530.9 cm2
9.A circle has a diameter of 6 cm. Find its area, correct to 1 decimal place.
Answer: 28.3 cm2
- r = 6 ÷ 2 = 3 cm
- A = π × r2 = π × 32 = π × 9
- ≈ 28.3 cm2
10.Find the area of a semicircle with a radius of 16 cm, correct to 1 decimal place.
Answer: 402.1 cm2
- A = ½ × π × r2 = ½ × π × 256
- ≈ 402.1 cm2
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