Difference between radii from circumferences: Two concentric circles have circumferences 176 m and 132 m. Find the difference between their radii.

Introduction / Context:For concentric circles, the difference in circumferences equals 2π times the difference in radii. This allows a one-step computation of the radial gap.

Given Data / Assumptions:

• C1 = 176 m, C2 = 132 m
• ΔC = 44 m
• Δr = ΔC / (2π)

Concept / Approach:Apply the circumference formula in difference form and divide by 2π.

Step-by-Step Solution:Δr = 44 / (2π) = 22 / π = 22 / (22/7) = 7 m

Verification / Alternative check:With π ≈ 3.1416, Δr ≈ 7.0 m; both approximations agree.

Why Other Options Are Wrong:5 m, 6 m, and 8 m are off; 44 m confuses ΔC with Δr.

Common Pitfalls:Dividing by π only (forgetting the factor 2); mixing units or misreading which is the larger circumference.

Final Answer:7 meter