Kawada's primary producer was I've producer Tomoyuki Nakazawa, who produced "Radiance" as well as her first three albums. Nakazawa also came up with each album's concept and title. However, in 2010, Kawada began to cooperate more with other producers and also began working more in Tokyo. When producing "Square the Circle", Nakazawa asked Kawada what sort of album and what sort of songs did she want. Kawada said that she wanted an album whose songs would be reminiscent of her visual image and stage persona, as opposed to her private self.