Multiple choice

A wire is in the form of a circle of radius 28 cm. What is the area of the square formed from this wire?

  1. 1936 cm2

  2. 1866 cm2

  3. 19.36 cm2

  4. None of these
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A Correct answer
Explanation

Circumference of circle = 2 * pi * r = 2 * (22/7) * 28 = 176 cm. Perimeter of square = 176 cm, so side = 176 / 4 = 44 cm. Area = 44^2 = 1936 cm^2.

AI explanation

The total length of the wire is the circumference of the circle, calculated using the formula 2 times pi times the radius, which gives 56 pi cm. When this wire is bent into a square, its perimeter remains 56 pi, making the side length of the square 14 pi cm. The area of the square is the side length squared, approximated as 14 times 22 over 2, resulting in an area of 1936 cm2.

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