Multiple choice

The area of the circle that can be inscribed in a square of side 6 cm is

  1. 36 $\pi cm^2$
  2. 18 $\pi cm^2$
  3. 12 $\pi cm^2$
  4. 9 $\pi cm^2$
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D Correct answer
Explanation

A circle inscribed in a square has a diameter equal to the side of the square. With side 6 cm, the radius is 3 cm, and the area is pi * r^2 = 9 * pi cm^2.

AI explanation

The diameter of the circle inscribed in a square equals the side length of the square, making the radius 6 divided by 2, which is 3 cm. Using the area formula for a circle, pi times the square of the radius gives an area of 9 times pi square cm.