Statement (1) is sufficient: a square inscribed in a circle always has the same relationship with the circle. The diagonal of the square is the diameter of the circle, so you can work out the exact relationship and determine the ratio between the sizes of the figures, which allows you to answer the question.

Statement (2) is also sufficient: if you have the ratio of the areas, you can determine the ratio of the side of the square to the radius of the circle, from which you could compare the perimeter and the circumference of the figures. Choice (D) is correct.