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Geometry Level 2

LET ABCD BE A UNIT SQUARE. DRAW A QUADRANT OF A CIRCLE WITH A AS CENTRE AND B,D AS END POINTS OF THE ARC. SIMILARLY,DRAW A QUADRANT OF A CIRCLE WITH B AS THE CENTRE AND A,C AS END POINTS OF THE ARC .INSCRIBE A CIRCLE WITH RADIUS r TOUCHING THE ARCS AC AND BD BOTH EXTERNALLY AND ALSO TOUCHING THE SIDE CD . FIND THE RADIUS OF THE CIRCLE WITH RADIUS r r=?

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