Year 8 Circumference and Area of Circles Worksheet — Level 1 — Practice Set 3 — Answers
Answer sheet with worked solutions for the Year 8 area & perimeter worksheet.
Year 8 Circumference and Area of Circles Worksheet — Level 1 — Practice Set 3 — 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 14 cm. What is its radius?
Answer: 7 cm
The radius is half the diameter.
2.A circle has a diameter of 4 cm. Find its area, correct to 1 decimal place.
Answer: 12.6 cm2
- r = 4 ÷ 2 = 2 cm
- A = π × r2 = π × 22 = π × 4
- ≈ 12.6 cm2
3.A circle has a diameter of 24 cm. Find its circumference, correct to 1 decimal place.
Answer: 75.4 cm
- C = π × d = π × 24
- ≈ 75.4 cm
4.A circle has a radius of 13 cm. Find its circumference, correct to 1 decimal place.
Answer: 81.7 cm
- C = 2 × π × r = 2 × π × 13
- ≈ 81.7 cm
5.A circle has a radius of 19 cm. What is its diameter?
Answer: 38 cm
The diameter is twice the radius.
6.A circle has a diameter of 24 cm. Find its area, correct to 1 decimal place.
Answer: 452.4 cm2
- r = 24 ÷ 2 = 12 cm
- A = π × r2 = π × 122 = π × 144
- ≈ 452.4 cm2
7.A circle has a diameter of 28 cm. Find its area, correct to 1 decimal place.
Answer: 615.8 cm2
- r = 28 ÷ 2 = 14 cm
- A = π × r2 = π × 142 = π × 196
- ≈ 615.8 cm2
8.A circle has a diameter of 14 cm. Find its area, correct to 1 decimal place.
Answer: 153.9 cm2
- r = 14 ÷ 2 = 7 cm
- A = π × r2 = π × 72 = π × 49
- ≈ 153.9 cm2
9.A circle has a diameter of 4 cm. Find its circumference, correct to 1 decimal place.
Answer: 12.6 cm
- C = π × d = π × 4
- ≈ 12.6 cm
10.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
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.