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Circle Circumference Challenge Problems
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Circle Circumference Challenge Problems
🎯 Part 1: Real-Life Circumference Problems
1. A bicycle wheel has a diameter of 70 cm. How far will the bicycle travel in metres when the wheel completes exactly 50 rotations? (Use π = 3.14)
Answer: _________ metres
2. Sarah is designing a circular garden pond with a radius of 2.5 metres. She wants to place decorative stones around the entire edge. If each stone covers 25 cm of the circumference, how many stones will she need? (Use π = 3.14)
Answer: _________ stones
3. A circular running track has a circumference of 628 metres. What is the radius of the track? (Use π = 3.14)
Answer: _________ metres
4. James is building a circular fence around his vegetable patch. The diameter of the patch is 8.4 metres. Fencing costs £12 per metre. How much will it cost to fence the entire perimeter? (Use π = 3.14)
Answer: £_________
🧠 Part 2: Multi-Step Challenge Problems
5. A circular pizza has a diameter of 32 cm. The chef cuts it into 8 equal slices. What is the length of the curved edge (arc) of each slice? (Use π = 3.14)
Answer: _________ cm
6. Two circular tables are placed next to each other. Table A has a radius of 75 cm and Table B has a radius of 60 cm. What is the difference between their circumferences? (Use π = 3.14)
Answer: _________ cm
7. A hamster wheel has a circumference of 94.2 cm. If the hamster runs for 15 minutes and the wheel rotates 200 times, how far has the hamster travelled in total? Give your answer in metres. (Use π = 3.14)
Answer: _________ metres
8. Challenge: A circular pond has an area where the radius is increased by 20%. If the original circumference was 31.4 metres, what is the new circumference after the increase? (Use π = 3.14)
Answer: _________ metres
📝 Part 3: Problem Solving & Reasoning
9. Explain in your own words why the circumference of a circle changes when the radius is doubled. Use an example with calculations to support your answer.
10. A designer wants to create a circular logo that fits exactly inside a square with sides of 12 cm. What would be the circumference of the largest possible circle? Show your working and reasoning.
Answer: _________ cm
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