This excel resource looks at various methods of evaluating pi, including Vièta’s formula and using the trapezium rule.
The first series of sheets include an introduction to François Vièta, his infinite product for calculating pi and a derivation of the formula. A step by step calculator method is also included (for the Casio fx-83MS).
The final series of sheets demonstrate how the trapezium rule can give an approximate value of pi equal to the area under a curve for the functions 4/(1+x^2 ) , 6/√(1-x^2 ) and√(1-x^2 ).
This program was designed by be viewed on a screen with a resolution of 1024 x 768. Users may have to adjust the resolution of their screen for the pages to display as was originally intended. The program uses macros which need to be enabled on users’ machine.