Area of a circle Archimedes is not rigorous by modern standards, because it assumes that we can compare the length of arc of a circle to the length of a secant and a tangent line, and similar statements about the area, as geometrically evident. The area of a regular polygon is half its perimeter times the apothem. As the number of sides of the regular polygon increases, the polygon tends to a circle, and the apothem tends to the radius. This suggests that the area of a disk is half the circumference of its bounding circle times the radius. Following Archimedes' argument in "The
There Is a Light That Never Goes Out home") is quoted in the song. According to Goddard, an earlier version lacked some of the finished version's ambiguity, culminating in the line "There is a light "in your eyes" and it never goes out". Due to a dispute between the Smiths and its record label Rough Trade Records after the group completed "The Queen Is Dead", nine months passed after the release of "The Boy with the Thorn in His Side" before the group issued another single. Once the matter was resolved, Rough Trade owner Geoff Travis felt that "There Is a Light That Never Goes Out" should be