Diameter from distance and revolutions: A wheel makes 1000 revolutions to cover 88 km. What is the wheel’s diameter?

Introduction / Context:Distance per revolution equals circumference, so dividing total distance by the number of revolutions produces the circumference. From there, the diameter is immediate via C = πd.

Given Data / Assumptions:

• Total distance L = 88 km = 88,000 m
• Revolutions N = 1000
• Circumference C = L / N

Concept / Approach:Compute C = 88,000 / 1000 = 88 m. Then d = C / π. Using π ≈ 22/7 yields a clean integer result.

Step-by-Step Solution:C = 88 md = 88 / π ≈ 88 / (22/7) = 88 * 7 / 22 = 28 m

Verification / Alternative check:Check back: circumference π * 28 ≈ 87.9646 m; 1000 revolutions produce ≈ 87.96 km, which rounds to 88 km when π is approximated by 22/7.

Why Other Options Are Wrong:Other diameters yield mismatched circumferences far from 88 m per revolution.

Common Pitfalls:Forgetting to convert km to meters; using radius (d/2) accidentally in C = 2πr instead of πd.

Final Answer:28 meters