Nov 1, 2024
We have a "pseudo-square" here:
The pseudo-square pictured above has two straight sides, which run radially between arcs of two concentric circles.
Assuming this is a unit pseudo-square (i.e., each side has length 1), what is its area?
Area: \(\frac{1 + \sqrt{\pi^2 + 1}}{2\pi} \approx 0.68\) unit squared
Explanation:
This is a pen-and-paper solve: