Multiple choice

A circle is inscribed in a square of side $14:cm.$ Find the area enclosed between the square and the circle.

  1. $42\:cm^{2}$
  2. $32\:cm^{2}$
  3. $22\:cm^{2}$
  4. $52\:cm^{2}$
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A Correct answer
Explanation

Square area = 14*14 = 196. Circle radius = 7. Circle area = pi*7^2 = 22/7 * 49 = 154. Difference = 196 - 154 = 42.

AI explanation

The diameter of the inscribed circle equals the side of the square, so the radius is 14 / 2 = 7 cm. The area of the square is 14 * 14 = 196 sq cm, and the area of the circle is pi * r^2, which is (22/7) * 7^2 = 154 sq cm. The difference between the square's area and the circle's area is 196 - 154 = 42 sq cm.

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