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There is a circle of radius 1 cm. Each member of a sequence of regular polygons S1(n), n = 4, 5, 6, ..., where n is the number of sides of the polygon, is circumscribing the circle: and each member of the sequence of regular polygons S2(n), n = 4, 5, 6, ... where n is the number of sides of the polygon, is inscribed in the circle. Let L1(n) and L2(n) denote the perimeters of the corresponding polygons of S1(n) and S2(n), then $\frac{ \{L1(13) + 2 \pi\} }{L2(17)}$ is

  1. greater than $\frac{\pi}{4}$
  2. greater than 1 less than 2
  3. greater than 2
  4. less than $\frac{\pi}{4}$
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