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Year 7 Circumference and Area of Circles Worksheet — Level 3 — 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 — 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

  1. A = π × r2 = π × 62 = π × 36
  2. ≈ 113.1 cm2
2.A circle has a diameter of 14 cm. Find its area, correct to 1 decimal place.

Answer: 153.9 cm2

  1. r = 14 ÷ 2 = 7 cm
  2. A = π × r2 = π × 72 = π × 49
  3. ≈ 153.9 cm2
3.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
4.A circle has a circumference of 20π cm. Find its radius and its area (leave the area in terms of π).

Answer: r = 10 cm; A = 100π cm2

  1. C = 2πr, so 2πr = 20π
  2. r = 10 cm
  3. A = πr2 = 100π cm2
5.Find the area of a semicircle with a radius of 7 cm, correct to 1 decimal place.

Answer: 77.0 cm2

  1. A = ½ × π × r2 = ½ × π × 49
  2. ≈ 77.0 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 10 cm. Find its area, correct to 1 decimal place.

Answer: 314.2 cm2

  1. A = π × r2 = π × 102 = π × 100
  2. ≈ 314.2 cm2
8.Find the area of a semicircle with a radius of 17 cm, correct to 1 decimal place.

Answer: 454.0 cm2

  1. A = ½ × π × r2 = ½ × π × 289
  2. ≈ 454.0 cm2
9.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
10.A circle has a diameter of 30 cm. Find its area, correct to 1 decimal place.

Answer: 706.9 cm2

  1. r = 30 ÷ 2 = 15 cm
  2. A = π × r2 = π × 152 = π × 225
  3. ≈ 706.9 cm2
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