π Simulations
Visualize different methods for calculating π
Monte Carlo Method
This method approximates π by randomly placing points in a square and calculating the ratio of points that fall inside the inscribed circle.
Current π estimate: 0
Points: 0
Inside: 0
Ratio: 0
Archimedes' Method
Archimedes approximated π by calculating the perimeters of inscribed and circumscribed polygons around a circle.
Current π estimate: 3.0000
Lower bound: 3.0000
Upper bound: 3.4641
Sides: 6
Leibniz Series
This infinite series converges to π/4: 1 - 1/3 + 1/5 - 1/7 + 1/9 - ... = π/4
Current π estimate: 0
π/4 = 1 - 1/3 + 1/5 - ...
Terms used: 0
Current sum: 0