Multiple choice

If the area of the circle be $ \displaystyle 154 cm^{2},$ then its radius is equal to:

  1. $12$ cm
  2. $8$ cm
  3. $7$ cm

  4. None of these
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C Correct answer
Explanation

Area of circle = pi * r^2 = 154. Using pi = 22/7, (22/7) * r^2 = 154, so r^2 = 154 * 7 / 22 = 7 * 7 = 49. Thus, r = 7 cm.

AI explanation

Using the formula for the area of a circle, Area = (22/7) * radius^2, we set it equal to 154. Solving for the radius gives radius^2 = 154 * (7/22), which simplifies to 49. The square root of 49 is 7 cm.

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