Circles and squares

Geometry Level 2

The radius of the circle is \(R\). It is inscribed in a square of side \(2R\). The square, as well as circle, are divided into four equal portions by a horizontal and vertical line. Now arc in each smaller square was converted to four petals (shaded area) by taking a mirror image of them as shown in the diagram. What is the percent of the area of the petals to the total are of the big square​?

Give your answer to the nearest integer.

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