How to Solve this Square-Circle-Square Problem

<p>The yellow line in the picture intersects with the top left corners of both squares and the center of the circle (and the bottom right corners of both squares). The length of the continuous (non-dotted) line segment is 1.</p> <p><em>What is the area of the inner (blue) square?</em></p> <p>You may be surprised to find that we can calculate the exact area of the inner square with just that one line segment to go on, but we can.</p> <p>I encourage the reader to give this problem a try first!</p> <p><a href="https://medium.com/how-to-build-an-asi/how-to-solve-this-square-circle-square-problem-6f8d3d3ee309"><strong>Website</strong></a></p>