# A square and a circle with the same area

Geometry Level 3

A square and a circle have equal areas. How many of the following statements must be true?

1. The length of the diagonal of the square equals the diameter of the circle.

2. The circumference of the circle is less than the perimeter of the square.

3. The circle can be inscribed in the square.

4. The radius of the circle is less than half the length of the square's sides.

5. The ratio of the side length of the square to the radius of the circle is $$\pi:1$$

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