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Geometry Level pending

let ABCD be a unit square.draw a quadrant of circle with A as a centre and B , D as a end points of the arc. similarly, draw a quadrant of a circle with B as a centre A and C as a end points of the arc . inscribe a circle S touching the arcs AC and BD both externally and also touching the side CD. find the radius of the circle S.

1.04E-2 6.25E-2 3.125E-2 5.23E-2

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