Two perpendicular squares inside a circle. The circle centre is located on the side of one square. The line segment connecting two vertices has length a. What is the circle area?

Solution

The circle area is πa².

Poem

Squaring the circle
Can become a challenge in building
A drawing with compass for constructing
A figure in plain geometry
But squaring the circle could also be solving a problem
You know in advance it has no solution
Probably the blunt edges
Of our pre-square in contribution

Bella