area wanted, circle tangent to a square (2019 Novosibirsk Oral Geo Oly 9.3)
Source:
April 28, 2021
geometryareasquare
Problem Statement
The circle touches the square and goes through its two vertices as shown in the figure. Find the area of the square.
(Distance in the picture is measured horizontally from the midpoint of the side of the square.)
https://cdn.artofproblemsolving.com/attachments/7/5/ab4b5f3f4fb4b70013e6226ce5189f3dc2e5be.png