Thereâs really no way to say exact costs for sure but here in the DC area, youâre most likely starting at $5,000-10,000 for a smaller backyard pond and going up from there. One like the pond above â where we brought in literally dozens of truckloads of soil and stone â would be well north of $30,000-40,000.
In 1706 (a fruitful year for Pi), Machin found this rapidly converging formula for its calculation: Ï/4 = 4 x arctan (1/5) - arctan (1/239). Also in 1706, the Welshman, William Jones, became the first person to use the Greek letter Ï as an abbreviation for the periphery of a circle with unit diameter. Euler adopted the symbol, and it quickly became the standard notation for Pi in all mathematical contexts.
1 You can measure Pi by bracketing a circle with polygons. 2  This is easy with polygons with small numbers of sides, but it gets harder as you add sides. 3  Archimedes used this trick with 96 sided polygons to correctly estimate Pi to about two digits (3.14), proving.