A cart’s wheel has a radius of 7 cm. The cart travels a distance of 5 km. How many complete turns does the wheel make? Give your answer as a whole number.

Step-by-step solution

1. Convert the distance to centimetres: $5\text{ km}=500000\text{ cm}$.
2. The circumference of the wheel is $2\pi \times 7\text{ cm}=14\pi \text{ cm}$.
3. Number of turns = total distance ÷ circumference: $\frac{500000}{14\pi }\approx 11376.9$.
4. Round to the nearest whole number: $11377$ turns.

Concept tested: Calculating revolutions from distance and wheel radius

Published 10 October 2026 · How this solution was prepared and checked