There is a circle of radius 1 cm. Each member of a sequence of regularpolygon P1(n), n = 5, 6...., Where n is the number of sides of polygon iscircumscribing the circle and each member of a sequence of regular polygonP2(n), n = 4, 5.. where n is the number of sides of a polygon, is incribedin the circle. Let L1(n) & L2(n) denote the perimeter of the correspondingpolygons P1(n)& P2(n). let X=L1(13)+2∏/L2(17) Then

There is a circle of radius 1 cm. Each member of a sequence of regularpolygon P₁(n), n = 5, 6...., Where n is the number of sides of polygon iscircumscribing the circle and each member of a sequence of regular polygonP₂(n), n = 4, 5.. where n is the number of sides of a polygon, is incribedin the circle. Let L₁(n) & L₂(n) denote the perimeter of the correspondingpolygons P₁(n)& P₂(n). let X=L₁(13)+2∏/L₂(17) Then

A.
∏/4 < X < 1
B.
1 < X < 2
C.
X > 2
D.
X < 2

Correct Answer : B

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