Multiple choice

The length of the diagonal of a square inscribed in a circle is 8 inches. What is the perimeter of the circle?

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A Correct answer
Explanation

A square inscribed in a circle has a diagonal equal to the diameter of the circle. Since the diagonal is 8 inches, the diameter is 8 inches. The perimeter (circumference) of a circle is pi * diameter, which is 8 * pi.

AI explanation

The diagonal of an inscribed square passes through the center of the circle, making it the diameter. Given the diagonal is 8 inches, the radius is 4 inches. The perimeter (circumference) of the circle is found by the formula circumference = 2 * pi * r, yielding 8pi.