Year 9 Circumference and Area of Circles Worksheet — Level 1 — Practice Set 3 — Answers
Answer sheet with worked solutions for the Year 9 area & perimeter worksheet.
Year 9 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 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
2.A circle has a diameter of 26 cm. Find its area, correct to 1 decimal place.
Answer: 530.9 cm2
- r = 26 ÷ 2 = 13 cm
- A = π × r2 = π × 132 = π × 169
- ≈ 530.9 cm2
3.A circle has a radius of 7 cm. What is its diameter?
Answer: 14 cm
The diameter is twice the radius.
4.A circle has a diameter of 22 cm. What is its radius?
Answer: 11 cm
The radius is half the diameter.
5.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
6.A circle has a radius of 12 cm. Find its area, correct to 1 decimal place.
Answer: 452.4 cm2
- A = π × r2 = π × 122 = π × 144
- ≈ 452.4 cm2
7.A circle has a radius of 14 cm. Find its circumference, correct to 1 decimal place.
Answer: 88.0 cm
- C = 2 × π × r = 2 × π × 14
- ≈ 88.0 cm
8.A circle has a diameter of 28 cm. What is its radius?
Answer: 14 cm
The radius is half the diameter.
9.A circle has a diameter of 30 cm. Find its circumference, correct to 1 decimal place.
Answer: 94.2 cm
- C = π × d = π × 30
- ≈ 94.2 cm
10.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
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.