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
A Huge Ever Growing Pulsating Brain That Rules from the Centre of the Ultraworld the sample-laden single reached #78 on the UK singles chart. A Huge Ever Growing Pulsating Brain That Rules from the Centre of the Ultraworld "A Huge Ever Growing Pulsating Brain That Rules from the Centre of the Ultraworld" is the debut single by the ambient house group The Orb. It was originally released in October 1989 and made the UK Singles Chart in 1990, peaking at #78. The 'Peel Session' version was also voted into #10 place in John Peel's 1990 Festive Fifty. In April 1991, it was released on the debut album "The Orb's Adventures Beyond the Ultraworld". The