Multiple choice

If the circumference of a circle is $88$ cm, then the area of the circle (in sq.cm) is $\displaystyle \left ( \text{take} \ \pi = \frac{22}{7} \right )$

  1. $\displaystyle 196\pi $
  2. $\displaystyle 92\pi $
  3. $\displaystyle 64\pi $
  4. $\displaystyle 48\pi $
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A Correct answer
Explanation

Circumference = 2 * pi * r = 88. Using pi = 22/7, 2 * (22/7) * r = 88, so r = 14. Area = pi * r^2 = pi * 14^2 = 196 * pi.

AI explanation

The circumference formula is 2 * pi * r, so setting 2 * (22/7) * r = 88 gives a radius of 14 cm. The area of a circle is pi * r^2, and substituting the radius gives pi * 14^2. This results in an area of 196*pi square cm.

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