square the circle

verb

To construct a square with the same area as a given circle by using only a finite number of steps with compass and straightedge, a task which is mathematically impossible.

Meanings

verbsquare the circle (third-person singular simple present squares the circle, present participle squaring the circle, simple past and past participle squared the circle)

present singular third person squares the circle · participle present squaring the circle · participle past squared the circle · past squared the circle

  1. literalgeometryTo construct a square with the same area as a given circle by using only a finite number of steps with compass and straightedge, a task which is mathematically impossible.

    The problem of squaring the circle is the problem of determining the ratio of the circumference of a circle to the diameter, which is called π.

    1946, Bertrand Russell, History of Western Philosophy, I.24
  2. figurativelyTo solve a famously difficult or impossible problem.

Translations

Arabic رَبَّعَ الدائِرة
  • رَبَّعَ الدائِرة (rabbaʕa d-dāʔira)to construct a square with the same area as a circle
Chinese Cantonese 化圓為方 /化圆为方
  • 化圓為方 /化圆为方to construct a square with the same area as a circle
Chinese Mandarin 化圓為方 /化圆为方, 化圓為方 /化圆为方
  • 化圓為方 /化圆为方to construct a square with the same area as a circle
  • 化圓為方 /化圆为方to solve a difficult problem
Finnish neliöidä ympyrä, neliöidä ympyrä
  • neliöidä ympyräto construct a square with the same area as a circle
  • neliöidä ympyräto solve a difficult problem
French trouver la quadrature du cercle
  • trouver la quadrature du cercleto solve a difficult problem
German den Kreis quadrieren, die Quadratur des Kreises finden
  • den Kreis quadrierento construct a square with the same area as a circle
  • die Quadratur des Kreises findento solve a difficult problem
Greek τετραγωνίζω τον κύκλο, τετραγωνίζω τον κύκλο
  • τετραγωνίζω τον κύκλο (tetragonízo ton kýklo)to construct a square with the same area as a circle
  • τετραγωνίζω τον κύκλο (tetragonízo ton kýklo)to solve a difficult problem
Hungarian kört négyszögesít, kört négyszögesít
  • kört négyszögesítto construct a square with the same area as a circle
  • kört négyszögesítto solve a difficult problem
Italian trovare la quadratura del cerchio, trovare la quadratura del cerchio
  • trovare la quadratura del cerchioto construct a square with the same area as a circle
  • trovare la quadratura del cerchioto solve a difficult problem
Polish robić kwadraturę koła, zrobić kwadraturę koła
  • robić kwadraturę kołato construct a square with the same area as a circle
  • zrobić kwadraturę kołato construct a square with the same area as a circle
  • rozwiązywać zagadkęto solve a difficult problem
  • rozwiązać zagadkęto solve a difficult problem
Spanish hallar la cuadratura del círculo
  • hallar la cuadratura del círculoto solve a difficult problem
Cite this entry
APA

square the circle. (n.d.). In WatkinsX Dictionary. Retrieved November 4, 2026, from https://dictionary.watkinsx.com/word/square%20the%20circle

MLA

“square the circle.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/square%20the%20circle. Accessed November 4, 2026.

Chicago

WatkinsX Dictionary, s.v. “square the circle,” accessed November 4, 2026, https://dictionary.watkinsx.com/word/square%20the%20circle.

Source: square the circle on Wiktionary, CC BY-SA 4.0.