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A hexagon is divided into 6 equilateral triangles; the circle around the hexagon has a radius the length of one of these triangles. So the circumference is S x 2pi, s being the side of the hexagon. The perimeter of the hexagon is 6s. So the relationship is that you multiply it by 1/3 pi

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Q: What is the relationship between the perimeter of the hexagon and the circumference of the circle?
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