The value of pi lies between those two lengths. By doubling the number of sides of the hexagon to a 12-sided polygon, then a 24-sided polygon, and finally 48- and 96-sided polygons, Archimedes was ...

1 × 4 = 4 The enlarged triangle has a length of 4 squares. To increase the shape by a scale factor of 5, all of the sides of the irregular hexagon have to be multiplied by 5. The ...