Geometry Again!

Geometry Level 2

In the adjoining diagram, \(ABCD\) is a square. The larger circle has center \(O,\) which is also the center of the square. The smaller circles have equal radii and are each tangent to the square and the larger circle. The area of the larger circle is equal to the sum of the areas of the smaller four circles. What is the ratio between the side length of the square and the radius of a smaller circle?

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