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​?

×