Multiple choice

What is the area of a circle whose radius is equal to the side of a square whose perimeter is 114.8 metres?

  1. $2778.16 sqm$
  2. $2878.16 sqm$
  3. $2978.16 sqm$
  4. $2568.16 sqm$

  5. None of these
Reveal answer Fill a bubble to check yourself
E Correct answer
Explanation

Square perimeter 114.8m gives side = 114.8 ÷ 4 = 28.7m. This is the circle's radius. Area = π × r² = 3.14 × 28.7² = 3.14 × 823.69 = 2586.39 sqm (approximately). The closest option is D (2568.16 sqm) but there's a calculation discrepancy. Using precise calculation: π × (28.7)² = π × 823.69 ≈ 2587.4 sqm. None of the given options match this result, so 'None of these' is correct.

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