Multiple choice

The area of a circle is 2464 sq. cm, then its diameter is given by

  1. 56cm

  2. 7cm

  3. 28 cm

  4. 14 cm
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A Correct answer
Explanation

Area = pi * r^2 = 2464. Using pi = 22/7, r^2 = 2464 * 7 / 22 = 112 * 7 = 784. Thus, r = sqrt(784) = 28. The diameter is 2 * r = 56 cm.

AI explanation

Using the area of a circle formula, area equals pi times the square of the radius. Substituting the given area gives 2464 equals 22 over 7 times radius squared, making the radius squared equal to 784, so the radius is 28 cm. The diameter is twice the radius, which calculates to 56 cm.

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