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Year 9 Circumference and Area of Circles Worksheet — Level 2 — Practice Set 4 — Answers

Answer sheet with worked solutions for the Year 9 area & perimeter worksheet.

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Success TutoringWorksheetsAnswer sheetYear 9 · Mathematics · Area & Perimeter

Year 9 Circumference and Area of Circles Worksheet — Level 2 — Practice Set 4 — 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 14 cm. Find its area, correct to 1 decimal place.

Answer: 615.8 cm2

  1. A = π × r2 = π × 142 = π × 196
  2. ≈ 615.8 cm2
2.A circle has a radius of 4 cm. Find its circumference, correct to 1 decimal place.

Answer: 25.1 cm

  1. C = 2 × π × r = 2 × π × 4
  2. ≈ 25.1 cm
3.A circle has a diameter of 32 cm. Find its area, correct to 1 decimal place.

Answer: 804.2 cm2

  1. r = 32 ÷ 2 = 16 cm
  2. A = π × r2 = π × 162 = π × 256
  3. ≈ 804.2 cm2
4.A circle has a radius of 13 cm. Find its circumference, correct to 1 decimal place.

Answer: 81.7 cm

  1. C = 2 × π × r = 2 × π × 13
  2. ≈ 81.7 cm
5.Find the area of a semicircle with a radius of 16 cm, correct to 1 decimal place.

Answer: 402.1 cm2

  1. A = ½ × π × r2 = ½ × π × 256
  2. ≈ 402.1 cm2
6.A circle has a radius of 9 cm. Find its circumference, correct to 1 decimal place.

Answer: 56.5 cm

  1. C = 2 × π × r = 2 × π × 9
  2. ≈ 56.5 cm
7.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
8.A circle has a diameter of 24 cm. Find its area, correct to 1 decimal place.

Answer: 452.4 cm2

  1. r = 24 ÷ 2 = 12 cm
  2. A = π × r2 = π × 122 = π × 144
  3. ≈ 452.4 cm2
9.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
10.A circle has a diameter of 36 cm. Find its area, correct to 1 decimal place.

Answer: 1017.9 cm2

  1. r = 36 ÷ 2 = 18 cm
  2. A = π × r2 = π × 182 = π × 324
  3. ≈ 1017.9 cm2
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