A Geometry Puzzle For Your Weekend

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[Updated August 17 with my Excel solution and a link to the thread with a wide variety of solution techniques.]

Here’s a geometry puzzle for your weekend. The four squares are the same size. The arc is 1/4 of a true circle.  You have everything you need to solve this.

The original post was on Twitter from Catriona Agg (@Cshearer41). She has a library of puzzles like this. Here’s the tweet:

Geometry Problem tweet A Geometry Puzzle For Your Weekend

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If you solve this, please post your solution in the comments.  Show your work.  Use the following labels for various points on the diagram.  If you add points, label them and make it clear what you’ve done.

Geometry Problem with labels A Geometry Puzzle For Your Weekend

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Have fun!

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About Tony Lima

Retired after teaching economics at California State Univ., East Bay (Hayward, CA). Ph.D., economics, Stanford. Also taught MBA finance at the California University of Management and Technology. Occasionally take on a consulting project if it's interesting. Other interests include wine and technology.