1. **Problem Statement:** (c) Determine the number of complete revolutions a motorcycle wheel will make in travelling 2 km, given the wheel’s diameter is 85.1 cm. 2. **Formula and Explanation:** The distance travelled by the wheel in one revolution is the circumference of the wheel. The circumference $C$ of a circle is given by: $$C = \pi \times d$$ where $d$ is the diameter. 3. **Convert units:** Diameter $d = 85.1$ cm = $0.851$ m (since 100 cm = 1 m). Distance travelled $D = 2$ km = $2000$ m. 4. **Calculate circumference:** $$C = \pi \times 0.851 \approx 3.1416 \times 0.851 = 2.672 \text{ m}$$ 5. **Calculate number of revolutions:** Number of revolutions $N$ is total distance divided by circumference: $$N = \frac{D}{C} = \frac{2000}{2.672} \approx 748.5$$ 6. **Interpretation:** The wheel makes approximately 748 complete revolutions (only complete revolutions count). --- **Final answer:** The motorcycle wheel makes **748 complete revolutions** in travelling 2 km.