Multiple choice

The circumference of a circle is 3.14 m Its area will be equal to -

  1. $ \displaystyle 4\pi m^{2} $
  2. $ \displaystyle \frac{\pi }{4}m^{2} $
  3. $ \displaystyle 4\pi cm^{2} $
  4. $ \displaystyle \frac{\pi }{4}cm^{2} $
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B Correct answer
Explanation

Circumference = 2*pi*r = 3.14. So 2*r = 3.14/pi = 1. r = 0.5 m. Area = pi*r^2 = pi*(0.5)^2 = pi/4 m^2.

AI explanation

Using the circumference formula C equals 2 pi r, substitute the given value of 3.14 m to get 3.14 equals 2 pi r. Since pi is approximately 3.14, solving this gives the radius r as 0.5 m. Applying the area formula A equals pi r squared, the area is pi times 0.5 squared, resulting in pi divided by 4 square meters.

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