Year 8 Circumference and Area of Circles Worksheet — Level 2 — Practice Set 4 — 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 4 — 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 10 cm, correct to 1 decimal place.
Answer: 157.1 cm2
- A = ½ × π × r2 = ½ × π × 100
- ≈ 157.1 cm2
2.A circle has a diameter of 10 cm. Find its circumference, correct to 1 decimal place.
Answer: 31.4 cm
- C = π × d = π × 10
- ≈ 31.4 cm
3.A circle has a radius of 6 cm. Find its circumference, correct to 1 decimal place.
Answer: 37.7 cm
- C = 2 × π × r = 2 × π × 6
- ≈ 37.7 cm
4.A circle has a diameter of 10 cm. Find its area, correct to 1 decimal place.
Answer: 78.5 cm2
- r = 10 ÷ 2 = 5 cm
- A = π × r2 = π × 52 = π × 25
- ≈ 78.5 cm2
5.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
6.A circle has a radius of 19 cm. Find its circumference, correct to 1 decimal place.
Answer: 119.4 cm
- C = 2 × π × r = 2 × π × 19
- ≈ 119.4 cm
7.Find the area of a semicircle with a radius of 6 cm, correct to 1 decimal place.
Answer: 56.5 cm2
- A = ½ × π × r2 = ½ × π × 36
- ≈ 56.5 cm2
8.Find the area of a semicircle with a radius of 20 cm, correct to 1 decimal place.
Answer: 628.3 cm2
- A = ½ × π × r2 = ½ × π × 400
- ≈ 628.3 cm2
9.A circle has a radius of 16 cm. Find its circumference, correct to 1 decimal place.
Answer: 100.5 cm
- C = 2 × π × r = 2 × π × 16
- ≈ 100.5 cm
10.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
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.