Multiple choice

A circle is inscribed in a square whose side is $8$. What is the area of the circle, in terms of $\pi$?

  1. $4\pi $
  2. $8 \pi$
  3. $16\pi$
  4. $18 \pi$
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C Correct answer
Explanation

If a circle is inscribed in a square of side 8, the diameter of the circle is 8, so the radius is 4. Area = pi * r^2 = pi * 4^2 = 16pi.

AI explanation

When a circle is inscribed in a square, the diameter of the circle equals the side length of the square. With a square side length of 8, the radius of the circle is 8 divided by 2, which is 4. The area of the circle is pi times the radius squared, so multiplying pi by 4 squared gives 16 pi.

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