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In given figure, a rectangle ABCD is ins...

In given figure, a rectangle ABCD is inside a circle. Side AB is greater than BC. The ratio of area of circle to rectangle aBCD is `pi:sqrt(3)` Line segment AE intersect CD at E where `angleOAB=angleEAD` . Find the ratio of AE to AD .

A

`1:sqrt(2)`

B

`1:sqrt(3)`

C

`1:2`

D

`1:2sqrt(2)`

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