Question

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Explanation:

Step1: Determine the side length of the square

Since the diameter of the circle is equal to the side length of the square. Given the diameter \(d = 9\) is incorrect (assuming there is a mis - read and using the fact that if we consider the formula for area of a square \(A=s^{2}\), and if we assume the intended diameter is \(12\) (to get an area of \(144\) as \(12^{2}=144\)) is wrong. Wait, no, if we assume the problem is about area of the square. The diameter of the circle is equal to the side length of the square. If we assume the options, and using the formula \(A = s^{2}\). If we consider that maybe the diameter is \(9\) is a red - herring (no, wait, if we calculate area of square: if the diameter of the circle (which is inscribed or circumscribed? Assuming inscribed, but the formula for area of square is \(s^{2}\). Wait, no, another approach: if we assume that the problem is to find the area of the square. The diameter of the circle is equal to the side length of the square. If we calculate \(s^{2}\), and if we check the options: \(81=9^{2}\)

Answer:

81