CAT Exam Model Paper 1 with solutions for free online practice

There is a circle o f radius 1 cm. Each members of a sequence of regular polygons S${}_1$(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 S ${}_2$(n), n = 4, 5, 6, ... where n is the number of side of the polygon, is inscribed in the circle. Let L${}_1$(n) and L ${}_2$(n) denote the perimeters of the corresponding polygons in S${}_1$(n) and S ${}_2$(n), then $\frac{\left\{{\mathrm{L}}_1\left(13\right)+2\mathrm{\pi }\right\}}{{\mathrm{L}}_2\left(17\right)}$ is