A place for students to explore mathematics.
Here's a non-trivial challenge. Beginning with the outer square, draw Sanjay's diagram using compass and straight-edge construction. (A ruler can be used as a straight-edge if the markings are ignored.)
Sanjay, your diagram suggests a new problem with similar geometric appearance but different dimensions: Calculate the dimensions of a non-overlapping circle and square of equal area inscribed in a unit square.