Area of a circle each polygon side is a radius, of length "r". And since the total side length is greater than the circumference, the polygon consists of "n" identical triangles with total area greater than "T". Again we have a contradiction, so our supposition that "C" might be less than "T" must be wrong as well. Therefore, it must be the case that the area enclosed by the circle is precisely the same as the area of the triangle. This concludes the proof. Following Satō Moshun and Leonardo da Vinci , we can use inscribed regular polygons in a different way. Suppose we
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.