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Year 6 Circumference and Area of Circles Worksheet — Level 3 — Practice Set 2 — Answers

Answer sheet with worked solutions for the Year 6 area & perimeter worksheet.

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Success TutoringWorksheetsAnswer sheetYear 6 · Mathematics · Area & Perimeter

Year 6 Circumference and Area of Circles Worksheet — Level 3 — Practice Set 2 — 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 circumference of 38π cm. Find its radius and its area (leave the area in terms of π).

Answer: r = 19 cm; A = 361π cm2

  1. C = 2πr, so 2πr = 38π
  2. r = 19 cm
  3. A = πr2 = 361π cm2
2.A circle has a circumference of 26π cm. Find its radius and its area (leave the area in terms of π).

Answer: r = 13 cm; A = 169π cm2

  1. C = 2πr, so 2πr = 26π
  2. r = 13 cm
  3. A = πr2 = 169π cm2
3.A circle has a radius of 8 cm. Find its area, correct to 1 decimal place.

Answer: 201.1 cm2

  1. A = π × r2 = π × 82 = π × 64
  2. ≈ 201.1 cm2
4.Find the area of a semicircle with a radius of 4 cm, correct to 1 decimal place.

Answer: 25.1 cm2

  1. A = ½ × π × r2 = ½ × π × 16
  2. ≈ 25.1 cm2
5.Find the area of a semicircle with a radius of 5 cm, correct to 1 decimal place.

Answer: 39.3 cm2

  1. A = ½ × π × r2 = ½ × π × 25
  2. ≈ 39.3 cm2
6.Find the area of a semicircle with a radius of 2 cm, correct to 1 decimal place.

Answer: 6.3 cm2

  1. A = ½ × π × r2 = ½ × π × 4
  2. ≈ 6.3 cm2
7.A circle has a radius of 11 cm. Find its area, correct to 1 decimal place.

Answer: 380.1 cm2

  1. A = π × r2 = π × 112 = π × 121
  2. ≈ 380.1 cm2
8.A circle has a radius of 20 cm. Find its area, correct to 1 decimal place.

Answer: 1256.6 cm2

  1. A = π × r2 = π × 202 = π × 400
  2. ≈ 1256.6 cm2
9.A circle has a circumference of 40π cm. Find its radius and its area (leave the area in terms of π).

Answer: r = 20 cm; A = 400π cm2

  1. C = 2πr, so 2πr = 40π
  2. r = 20 cm
  3. A = πr2 = 400π cm2
10.A circle has a diameter of 12 cm. Find its area, correct to 1 decimal place.

Answer: 113.1 cm2

  1. r = 12 ÷ 2 = 6 cm
  2. A = π × r2 = π × 62 = π × 36
  3. ≈ 113.1 cm2
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