Find the perimeter of a square sheet of paper; the largest circle with a radius of 8 cm was cut out of it.

Answer: The perimeter of a square sheet of paper is 64 cm.

If the largest circle was cut out of a square sheet of paper, this means that the circle is inscribed in a square corresponding to the size of the sheet. The radius of the circle is 8 cm, which means its diameter is:

2 * 8 = 16.

If you draw through the center of the circle a line equal to its diameter, connecting two opposite points of contact between the lines of the circle and the sides of the square, then its length will be equal to the length of the side of the square, that is, 16 cm.

The perimeter is the sum of the lengths of all sides of any polygon. In our case, the perimeter of the square is:

16 + 16 + 16 + 16 = 64 cm.

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