Year 8 Circumference and Area of Circles Worksheet — Level 2 — Answers
Answer sheet with worked solutions for the Year 8 area & perimeter worksheet.
Year 8 Circumference and Area of Circles Worksheet — Level 2 — 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 17 cm, correct to 1 decimal place.
Answer: 454.0 cm2
- A = ½ × π × r2 = ½ × π × 289
- ≈ 454.0 cm2
2.A circle has a diameter of 22 cm. Find its area, correct to 1 decimal place.
Answer: 380.1 cm2
- r = 22 ÷ 2 = 11 cm
- A = π × r2 = π × 112 = π × 121
- ≈ 380.1 cm2
3.A circle has a radius of 7 cm. Find its circumference, correct to 1 decimal place.
Answer: 44.0 cm
- C = 2 × π × r = 2 × π × 7
- ≈ 44.0 cm
4.Find the area of a semicircle with a radius of 2 cm, correct to 1 decimal place.
Answer: 6.3 cm2
- A = ½ × π × r2 = ½ × π × 4
- ≈ 6.3 cm2
5.A circle has a radius of 7 cm. Find its area, correct to 1 decimal place.
Answer: 153.9 cm2
- A = π × r2 = π × 72 = π × 49
- ≈ 153.9 cm2
6.Find the area of a semicircle with a radius of 11 cm, correct to 1 decimal place.
Answer: 190.1 cm2
- A = ½ × π × r2 = ½ × π × 121
- ≈ 190.1 cm2
7.A circle has a diameter of 16 cm. Find its circumference, correct to 1 decimal place.
Answer: 50.3 cm
- C = π × d = π × 16
- ≈ 50.3 cm
8.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
9.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
10.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
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.