they are both shapes
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The answer depends on the relationship between the square and the circle. For example, is the circle inscribed in the square or the square in the circle or something else?
It depends on the diameter of the circle and the width of the square, if they are the same then the answer is no. If you draw yourself a square then inscribe a circle with a radius of half the length of a side of the square, the circle will fit inside the square but the corners of the square will be outside the circle. Thus by inspection the area of the square is larger than the area of the circle.
The sides of the Square.
The diagonal of the square.
The answer depends on their relative size: is the circle inside the square, the square inside the circle or something else?