text: The centers of the circles are 1/2 m in from the side of the square. The small square has a diagonal of 1 m. The side of that square is sqrt(2)/2 m. \n\nThat makes the side of the large square 1+sqrt(2)/2.\n\nLet x be the overlap, then 2 - x  = 1+sqrt(2)/2\n\nx = 1 - sqrt(2)/2