Multiple choice

If the perimeter of a square is equal to the radius of a circle whose area is 2464 sq cm. what is the area of the square ?

  1. 49 sq cm

  2. 64 sq cm

  3. 25 sq cm

  4. 196 sq cm

  5. 81 sq cm
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A Correct answer
Explanation

First, find the radius of the circle using the area formula, pi * r^2 = 2464, which gives r = 28 cm. Since the perimeter of the square is equal to this radius, we have 4 * side = 28, meaning the side of the square is 7 cm. Finally, the area of the square is side^2, which equals 49 sq cm.

AI explanation

Using the circle area formula of pi times r squared equals 2464 and approximating pi as 22 divided by 7, the radius is 28 cm. Since the square perimeter equals this radius, one side of the square is 7 cm. The area of the square is 7 squared, which is 49 sq cm.

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