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Year 7 Circumference and Area of Circles Worksheet — Level 3 — Practice Set 2 — Answers

Answer sheet with worked solutions for the Year 7 area & perimeter worksheet.

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Success TutoringWorksheetsAnswer sheetYear 7 · Mathematics · Area & Perimeter

Year 7 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 30π cm. Find its radius and its area (leave the area in terms of π).

Answer: r = 15 cm; A = 225π cm2

  1. C = 2πr, so 2πr = 30π
  2. r = 15 cm
  3. A = πr2 = 225π cm2
2.A circle has a diameter of 26 cm. Find its area, correct to 1 decimal place.

Answer: 530.9 cm2

  1. r = 26 ÷ 2 = 13 cm
  2. A = π × r2 = π × 132 = π × 169
  3. ≈ 530.9 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.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
5.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
6.A circle has a diameter of 16 cm. Find its area, correct to 1 decimal place.

Answer: 201.1 cm2

  1. r = 16 ÷ 2 = 8 cm
  2. A = π × r2 = π × 82 = π × 64
  3. ≈ 201.1 cm2
7.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
8.Find the area of a semicircle with a radius of 3 cm, correct to 1 decimal place.

Answer: 14.1 cm2

  1. A = ½ × π × r2 = ½ × π × 9
  2. ≈ 14.1 cm2
9.Find the area of a semicircle with a radius of 18 cm, correct to 1 decimal place.

Answer: 508.9 cm2

  1. A = ½ × π × r2 = ½ × π × 324
  2. ≈ 508.9 cm2
10.Find the area of a semicircle with a radius of 15 cm, correct to 1 decimal place.

Answer: 353.4 cm2

  1. A = ½ × π × r2 = ½ × π × 225
  2. ≈ 353.4 cm2
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