The figure shows two concentric circles ...

The figure 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 point B, C, D and A. What is the ratio of the perimeter of the outer circle to that of polygon ABCD ?

`(pi)/(4)`

`(3pi)/(2)`

`(pi)/(2)`

`pi`

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