Year 10 Circumference and Area of Circles Worksheet — Level 2 — Practice Set 3 — Answers
Answer sheet with worked solutions for the Year 10 area & perimeter worksheet.
Year 10 Circumference and Area of Circles Worksheet — Level 2 — Practice Set 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 6 cm, correct to 1 decimal place.
Answer: 56.5 cm2
- A = ½ × π × r2 = ½ × π × 36
- ≈ 56.5 cm2
2.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
3.A circle has a diameter of 28 cm. Find its circumference, correct to 1 decimal place.
Answer: 88.0 cm
- C = π × d = π × 28
- ≈ 88.0 cm
4.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
5.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
6.A circle has a radius of 12 cm. Find its circumference, correct to 1 decimal place.
Answer: 75.4 cm
- C = 2 × π × r = 2 × π × 12
- ≈ 75.4 cm
7.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
8.A circle has a diameter of 32 cm. Find its area, correct to 1 decimal place.
Answer: 804.2 cm2
- r = 32 ÷ 2 = 16 cm
- A = π × r2 = π × 162 = π × 256
- ≈ 804.2 cm2
9.A circle has a radius of 9 cm. Find its area, correct to 1 decimal place.
Answer: 254.5 cm2
- A = π × r2 = π × 92 = π × 81
- ≈ 254.5 cm2
10.A circle has a radius of 20 cm. Find its area, correct to 1 decimal place.
Answer: 1256.6 cm2
- A = π × r2 = π × 202 = π × 400
- ≈ 1256.6 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.