Now begin with a regular hexagon inscribed in a unit circle. The hexagon's perimeter is 6, a rough approximation for the circle's circumference 2 pi, and so pi = 3.00. Now use # 2 through seven doublings, until you have the perimeter of a regular inscribed 768-gon. What is the corresponding approximation of pi based on these 'inscribed figures? In the midst of his approximation, Archimedes needed a value for Squareroot 3 and he used 265/153 < Squareroot 3 < 1351/780. How good is this as a decimal?