A cart has a wheel of diameter 20 cm. If the wheel makes 50 complete turns, how far does the cart travel? Express the answer in metres, rounded to one decimal place.
Answer
31.4 m
The correct answer is 31.4 m — 4. Approximate 10π ≈ 31.4 m (to one decimal).
Step-by-step solution
- 1. Circumference of wheel = π × diameter = 20π cm.
- 2. Distance for 50 turns = 50 × 20π = 1000π cm.
- 3. Convert cm to metres: 1000 cm = 10 m, so distance = 10π m.
- 4. Approximate 10π ≈ 31.4 m (to one decimal).
Common mistake: Using 2πr incorrectly or forgetting unit conversion
Concept tested: Circumference and distance
Published · How this solution was prepared and checked
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