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Year 6 Circumference and Area of Circles Worksheet — Level 3 — 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 — 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 24π cm. Find its radius and its area (leave the area in terms of π).

Answer: r = 12 cm; A = 144π cm2

  1. C = 2πr, so 2πr = 24π
  2. r = 12 cm
  3. A = πr2 = 144π cm2
2.Find the area of a semicircle with a radius of 11 cm, correct to 1 decimal place.

Answer: 190.1 cm2

  1. A = ½ × π × r2 = ½ × π × 121
  2. ≈ 190.1 cm2
3.Find the area of a semicircle with a radius of 9 cm, correct to 1 decimal place.

Answer: 127.2 cm2

  1. A = ½ × π × r2 = ½ × π × 81
  2. ≈ 127.2 cm2
4.A circle has a circumference of 8π cm. Find its radius and its area (leave the area in terms of π).

Answer: r = 4 cm; A = 16π cm2

  1. C = 2πr, so 2πr = 8π
  2. r = 4 cm
  3. A = πr2 = 16π cm2
5.A circle has a diameter of 4 cm. Find its area, correct to 1 decimal place.

Answer: 12.6 cm2

  1. r = 4 ÷ 2 = 2 cm
  2. A = π × r2 = π × 22 = π × 4
  3. ≈ 12.6 cm2
6.Find the area of a semicircle with a radius of 19 cm, correct to 1 decimal place.

Answer: 567.1 cm2

  1. A = ½ × π × r2 = ½ × π × 361
  2. ≈ 567.1 cm2
7.A circle has a radius of 7 cm. Find its area, correct to 1 decimal place.

Answer: 153.9 cm2

  1. A = π × r2 = π × 72 = π × 49
  2. ≈ 153.9 cm2
8.A circle has a radius of 19 cm. Find its area, correct to 1 decimal place.

Answer: 1134.1 cm2

  1. A = π × r2 = π × 192 = π × 361
  2. ≈ 1134.1 cm2
9.A circle has a diameter of 34 cm. Find its area, correct to 1 decimal place.

Answer: 907.9 cm2

  1. r = 34 ÷ 2 = 17 cm
  2. A = π × r2 = π × 172 = π × 289
  3. ≈ 907.9 cm2
10.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
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