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
The Road to Little Dribbling: More Notes from a Small Island The Road to Little Dribbling: More Notes from a Small Island The Road to Little Dribbling: More Notes From a Small Island is a humorous travel book by American author Bill Bryson, first published in 2015. Twenty years after the publication of "Notes From a Small Island", Bryson makes another journey around Great Britain to see what has changed. In the opening chapters he notes that the straight line distance from Bognor Regis on the south coast to Cape Wrath in Scotland is the longest straight line one can travel in the UK without crossing any part of the sea.