There is a circle of radius 1 cm. Each member of a sequence of regular polygons Sl (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 {L1(13)+2π}/L2(17) is
A.
greater than π/4 and less than 1
B.
greater than 1 and less than 2
C.
greater than 2
D.
less than π/4
Correct Answer : C

Question

There is a circle of radius 1 cm. Each member of a sequence of regular polygons Sl (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 {L1(13)+2π}/L2(17) is

A.
greater than π/4 and less than 1
B.
greater than 1 and less than 2
C.
greater than 2
D.
less than π/4

Correct Answer : C

A to Z Exams · Accepted Answer

greater than 2

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