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 from the Smiths' masterpiece third album, "The Queen Is Dead"." In 2014, "NME" listed "There Is a Light That Never Goes Out" as the 12th greatest song of all time. The website Acclaimed Music lists it as the 78th most acclaimed song of all time, and the 8th most acclaimed song of the 1980s. There is a chapter in Irvine Welsh's novel "Trainspotting" named after this song, which mentions its title directly. The song appears on the soundtrack to "(500) Days of Summer"; in the film, it is used to bring the main characters together. The song has been covered