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 .

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The correct Answer is:

`2:sqrt(3)`

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