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Year 8 Circumference and Area of Circles Worksheet — Level 3 — Practice Set 2 — Answers

Answer sheet with worked solutions for the Year 8 area & perimeter worksheet.

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Success TutoringWorksheetsAnswer sheetYear 8 · Mathematics · Area & Perimeter

Year 8 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 radius of 13 cm. Find its area, correct to 1 decimal place.

Answer: 530.9 cm2

  1. A = π × r2 = π × 132 = π × 169
  2. ≈ 530.9 cm2
2.A circle has a diameter of 22 cm. Find its area, correct to 1 decimal place.

Answer: 380.1 cm2

  1. r = 22 ÷ 2 = 11 cm
  2. A = π × r2 = π × 112 = π × 121
  3. ≈ 380.1 cm2
3.A circle has a circumference of 4π cm. Find its radius and its area (leave the area in terms of π).

Answer: r = 2 cm; A = 4π cm2

  1. C = 2πr, so 2πr = 4π
  2. r = 2 cm
  3. A = πr2 = 4π cm2
4.A circle has a diameter of 40 cm. Find its area, correct to 1 decimal place.

Answer: 1256.6 cm2

  1. r = 40 ÷ 2 = 20 cm
  2. A = π × r2 = π × 202 = π × 400
  3. ≈ 1256.6 cm2
5.A circle has a circumference of 32π cm. Find its radius and its area (leave the area in terms of π).

Answer: r = 16 cm; A = 256π cm2

  1. C = 2πr, so 2πr = 32π
  2. r = 16 cm
  3. A = πr2 = 256π 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

  1. C = 2πr, so 2πr = 12π
  2. r = 6 cm
  3. A = πr2 = 36π 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.A circle has a radius of 12 cm. Find its area, correct to 1 decimal place.

Answer: 452.4 cm2

  1. A = π × r2 = π × 122 = π × 144
  2. ≈ 452.4 cm2
9.A circle has a circumference of 22π cm. Find its radius and its area (leave the area in terms of π).

Answer: r = 11 cm; A = 121π cm2

  1. C = 2πr, so 2πr = 22π
  2. r = 11 cm
  3. A = πr2 = 121π cm2
10.Find the area of a semicircle with a radius of 13 cm, correct to 1 decimal place.

Answer: 265.5 cm2

  1. A = ½ × π × r2 = ½ × π × 169
  2. ≈ 265.5 cm2
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