MathDB

4

Part of 2017 ISI Entrance Examination

Problems(1)

Find the area of the region R

Source: BStat-BMath 2017: Problem 4

5/14/2017
Let SS be a square formed by the four vertices (1,1),(1.−1),(−1,1)(1,1),(1.-1),(-1,1) and (−1,−1)(-1,-1). Let the region RR be the set of points inside SS which are closer to the center than any of the four sides. Find the area of the region RR.
geometry