Where’d I get this geometry puzzle?
Embarrassed. I shared a puzzle, thought it was massively cool. And I want to give credit, but don’t recall where I grabbed it from. Any helpers?
Consider a square. Consider four circles, centered one at each vertex, with radius equal to the length of the side of the square. What is the area of the intersection of the circles (in terms of the radius)?
The original only gave the quarter circles within the square. I think it gave sidelength = radius = 1. There was a diagram included, maybe? And there was a word description of the region, something like a “bulging square”
You want to try solving this?
But more importantly, can you tell me who to credit?