The 'Squaring the Circle' problem is solvable.

The story behind the answer

False. “Squaring the circle” asks for a straightedge-and-compass construction of a square with the same area as a given circle. That would require constructing a length r√π (since the square’s side s must satisfy s² = πr²), but compass-and-straightedge constructions can produce only algebraic numbers. In 1882, Lindemann proved π is transcendental, so √π is not