AI overview
I don't have sufficient context provided to write an accurate overview. The single phrase "geometric problem" doesn't give me enough specific information about what squaring the circle entails, why mathematicians pursued it, or why it matters historically or mathematically. To write an accurate 2-sentence overview, I would need context that explains the actual problem (constructing a square equal in area to a circle), its historical significance, or its mathematical implications.
AI-generated from the Wikipedia summary — may contain errors.
Article
Squaring the circle: the areas of this square and this circle are both equal to π. In 1882, it was proven that this figure cannot be constructed in a finite number of steps with an idealized compass and straightedge.
Squaring the circle is a problem in geometry first proposed in Greek mathematics. It is the challenge of constructing a square with the area of a given circle by using only a finite number of steps with a compass and straightedge. The difficulty of the problem raised the question of whether specified axioms of Euclidean geometry concerning the existence of lines and circles implied the existence of such a square.