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 a single release by WEA to promote the "...Best II" compilation. The song reached number 25 on the UK Singles Chart, making it their last UK Top 40 appearance to date. Music critics consider "There Is a Light That Never Goes Out" to be one of the Smiths' finest efforts. Simon Goddard wrote, "In a straw poll among Smiths fans today, 'There Is a Light That Never Goes Out' would more than likely still come out victorious", which he credits to the "perfect balance" of Marr's compositional skills and Morrissey's lyricism. AllMusic's Tim DiGravina calls it "a standout among standouts