Region close to center (I.S.I. B.Stat, B.Math Subjective 2017, Problem 4)
Let S be the square formed by the four vertices (1, 1), (1, -1), (-1, 1), and (-1, -1). Let the region R be the set of points inside S which are closer to the center than to any of the four sides. Find the area to the region R.