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, find the range of {L1 (13) +2π} / L2 (17)?

1) Greater than π / 4 and less than 1
2) Greater than 1 and less than 2
3) Greater than 2
4) Less than π / 4