Circular track 14 m wide; inner circumference 440 m: Find the radius of the outer circle.

Introduction / Context:A track has uniform width. Knowing the inner circumference gives the inner radius; the outer radius is inner radius plus width.

Given Data / Assumptions:

• Width w = 14 m.
• Inner circumference = 440 m ⇒ 2πr_in = 440.

Concept / Approach:r_in = 440 / (2π). Then r_out = r_in + 14.

Step-by-Step Solution:

Verification / Alternative check:Outer circumference would then be 2π*84 ≈ 528π/ ? Not needed; radius result is direct.

Why Other Options Are Wrong:24, 44, 54 do not equal 70 + 14.

Common Pitfalls:Subtracting the width instead of adding for the outer radius.

Final Answer:84 m.