Ratio of perimeter of outer circle to that of ABCD | Quadrilateral | CAT 1999 Quant Solution | PYQs

The figure below shows two concentric circles with centre O. PQRS is a square inscribed in the outer circle. It also circumscribes the inner circle, touching it at points B, C, D and A. What is the ratio of the perimeter of the outer circle to that of polygon ABCD?
(a) 𝜋/4
(b) 3𝜋/2
(c) 𝜋/2
(d) π
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