PROVED
This has been solved in the affirmative.
Can a square and a circle of the same area be decomposed into a finite number of congruent parts?
A problem of Tarski, which Erdős described as 'a very beautiful problem...if it were my problem I would offer \$1000 for it'.
This is true - Laczkovich
[La90b] proved that in fact this is possible using translations only.
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When referring to this problem, please use the original sources of Erdős. If you wish to acknowledge this website, the recommended citation format is:
T. F. Bloom, Erdős Problem #1124, https://www.erdosproblems.com/1124, accessed 2026-01-16
