A circle is inscribed inside a square in such a way that the edges of the circle touch the sides of the square. If area of the circle is 616 cm², then find the area of the square.

Using the area of a circle formula, pi times the radius squared equals 616, and substituting pi as 22 divided by 7 gives the radius squared as 196, making the radius 14 cm. For an inscribed circle, the diameter of the circle equals the side length of the square, so the side length is 2 times 14, which is 28 cm. The area of the square is the side length squared, resulting in an area of 28 squared, which equals 784 cm2.

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