Year 8 Circumference and Area of Circles Worksheet — Level 2 — Practice Set 2 — Answers
Answer sheet with worked solutions for the Year 8 area & perimeter worksheet.
Year 8 Circumference and Area of Circles Worksheet — Level 2 — 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 diameter of 6 cm. Find its area, correct to 1 decimal place.
Answer: 28.3 cm2
- r = 6 ÷ 2 = 3 cm
- A = π × r2 = π × 32 = π × 9
- ≈ 28.3 cm2
2.A circle has a diameter of 40 cm. Find its area, correct to 1 decimal place.
Answer: 1256.6 cm2
- r = 40 ÷ 2 = 20 cm
- A = π × r2 = π × 202 = π × 400
- ≈ 1256.6 cm2
3.A circle has a radius of 20 cm. Find its circumference, correct to 1 decimal place.
Answer: 125.7 cm
- C = 2 × π × r = 2 × π × 20
- ≈ 125.7 cm
4.A circle has a diameter of 14 cm. Find its circumference, correct to 1 decimal place.
Answer: 44.0 cm
- C = π × d = π × 14
- ≈ 44.0 cm
5.Find the area of a semicircle with a radius of 15 cm, correct to 1 decimal place.
Answer: 353.4 cm2
- A = ½ × π × r2 = ½ × π × 225
- ≈ 353.4 cm2
6.A circle has a diameter of 8 cm. Find its area, correct to 1 decimal place.
Answer: 50.3 cm2
- r = 8 ÷ 2 = 4 cm
- A = π × r2 = π × 42 = π × 16
- ≈ 50.3 cm2
7.A circle has a diameter of 18 cm. Find its circumference, correct to 1 decimal place.
Answer: 56.5 cm
- C = π × d = π × 18
- ≈ 56.5 cm
8.A circle has a radius of 2 cm. Find its area, correct to 1 decimal place.
Answer: 12.6 cm2
- A = π × r2 = π × 22 = π × 4
- ≈ 12.6 cm2
9.A circle has a radius of 3 cm. Find its circumference, correct to 1 decimal place.
Answer: 18.8 cm
- C = 2 × π × r = 2 × π × 3
- ≈ 18.8 cm
10.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
Marking tips
- Give credit for correct method even when the final answer slips — the working shows where the thinking went right.
- For open-ended tasks, use the success criteria as a checklist rather than looking for one "right" answer.
- Celebrate what went well first, then pick one thing to work on next.