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?

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## Solution

The circle area is πa^{2}.

## 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