Circular race track: The inner circumference of a circular track is 440 m and the track is 14 m wide uniformly. Find the radius of the outer circle of the track.

Introduction / Context:Concentric circles model a circular track. Inner circumference and uniform width allow computation of inner and then outer radius.

Given Data / Assumptions:

• Inner circumference C_in = 440 m
• Track width w = 14 m
• Use π = 22/7 unless stated otherwise (standard for such questions)

Concept / Approach:For a circle, C = 2 * π * r. First find r_in from C_in, then r_out = r_in + w.

Step-by-Step Solution:

Verification / Alternative check:Compute outer circumference to sense-check: 2 * π * 84 = 2 * (22/7) * 84 = 2 * 22 * 12 = 528 m (plausible given width 14 m).

Why Other Options Are Wrong:44, 22, 33, 70 correspond to inner or unrelated radii; only 84 equals inner plus width.

Common Pitfalls:Forgetting to add width to get outer radius or using diameter instead of radius in the formula.

Final Answer:84