Wheel Revolutions to Radius — Distance 44 km in 4000 Revolutions (Recovery Applied): A wheel makes 4000 revolutions while moving 44 km. Find the radius of the wheel.

Introduction / Context:The original options listed very large radii in metres that did not align with the computation, suggesting inconsistency. By the Recovery-First Policy, we keep the given distance and revolutions and reconstruct coherent options around the correct result. The problem uses distance = revolutions * circumference and circumference = 2 * π * r.

Given Data / Assumptions:

• Total distance D = 44 km = 44000 m
• Number of revolutions N = 4000
• Circumference C = D / N
• C = 2 * π * r

Concept / Approach:Each revolution covers one circumference. Compute C, then solve for r = C / (2 * π). Keep metres throughout and round sensibly only at the end to match practical answer choices.

Step-by-Step Solution:

Verification / Alternative check:

Why Other Options Are Wrong:

• 1.25 m and 1.50 m yield too small circumferences.
• 2.00 m and 2.25 m yield distances exceeding 44 km.

Common Pitfalls:

• Mistaking diameter for radius; using C = π * d means d = 11/π and r = d/2.

Final Answer:1.75 m.