Area of a circular plot from fencing length: A wire of length 88 m fences a circular plot (wire equals the circumference). Find the area of the plot.

Introduction / Context:Given the circumference, we can compute the radius and then the area. This is a direct application of circle formulae with careful substitution.

Given Data / Assumptions:

• Circumference C = 88 m
• r = C / (2π)
• Area A = πr^2

Concept / Approach:Compute r first, preferably using π = 22/7 for clean arithmetic, then compute A exactly.

Step-by-Step Solution:r = 88 / (2π) = 44 / π = 44 / (22/7) = 14 mA = π * 14^2 = π * 196 = 616 m2 (with π = 22/7)

Verification / Alternative check:Using π ≈ 3.1416 gives A ≈ 615.75 m2, which rounds to 616 m2, matching the option.

Why Other Options Are Wrong:526 and 556 m2 are off from the exact computation; “None” is false since 616 m2 is correct; 600 m2 is a rounded guess, not exact.

Common Pitfalls:Forgetting to divide by 2π; squaring 44/π incorrectly; mixing units.

Final Answer:616 m2