Year 8 Circumference and Area of Circles Worksheet — Level 3 — Answers
Answer sheet with worked solutions for the Year 8 area & perimeter worksheet.
Success TutoringWorksheetsAnswer sheetYear 8 · Mathematics · Area & PerimeterYear 8 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.Find the area of a semicircle with a radius of 9 cm, correct to 1 decimal place.
Answer: 127.2 cm2
- A = ½ × π × r2 = ½ × π × 81
- ≈ 127.2 cm2
2.A circle has a radius of 10 cm. Find its area, correct to 1 decimal place.
Answer: 314.2 cm2
- A = π × r2 = π × 102 = π × 100
- ≈ 314.2 cm2
3.Find the area of a semicircle with a radius of 10 cm, correct to 1 decimal place.
Answer: 157.1 cm2
- A = ½ × π × r2 = ½ × π × 100
- ≈ 157.1 cm2
4.A circle has a diameter of 18 cm. Find its area, correct to 1 decimal place.
Answer: 254.5 cm2
- r = 18 ÷ 2 = 9 cm
- A = π × r2 = π × 92 = π × 81
- ≈ 254.5 cm2
5.A circle has a diameter of 34 cm. Find its area, correct to 1 decimal place.
Answer: 907.9 cm2
- r = 34 ÷ 2 = 17 cm
- A = π × r2 = π × 172 = π × 289
- ≈ 907.9 cm2
6.A circle has a radius of 8 cm. Find its area, correct to 1 decimal place.
Answer: 201.1 cm2
- A = π × r2 = π × 82 = π × 64
- ≈ 201.1 cm2
7.A circle has a radius of 3 cm. Find its area, correct to 1 decimal place.
Answer: 28.3 cm2
- A = π × r2 = π × 32 = π × 9
- ≈ 28.3 cm2
8.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
- C = 2πr, so 2πr = 30π
- r = 15 cm
- A = πr2 = 225π cm2
9.Find the area of a semicircle with a radius of 13 cm, correct to 1 decimal place.
Answer: 265.5 cm2
- A = ½ × π × r2 = ½ × π × 169
- ≈ 265.5 cm2
10.Find the area of a semicircle with a radius of 19 cm, correct to 1 decimal place.
Answer: 567.1 cm2
- A = ½ × π × r2 = ½ × π × 361
- ≈ 567.1 cm2
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