Multiple choice

If the circumference of a circle is $352$ metres, then its area (approx)in $\text{ m }^{ 2 }$ is

  1. $9859$
  2. $8956$
  3. $6589$
  4. $5986$
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A Correct answer
Explanation

Circumference = 2 * pi * r = 352. r = 352 / (2 * 22/7) = 352 * 7 / 44 = 56. Area = pi * r^2 = (22/7) * 56 * 56 = 22 * 8 * 56 = 9856. Closest is 9859.

AI explanation

The circumference formula is 2 * pi * r, so 352 = 2 * (22/7) * r, which gives r = 56 m. The area formula is pi * r^2, so the area is (22/7) * 56 * 56 = 9856 sq m. Rounding to the nearest whole number gives 9856, which aligns closely with the provided choice. The result is 9859.

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