Pi Computation

Pi computation involves determining the value of π, which represents the ratio of a circle's circumference to its diameter, approximately equal to 3.14159. Various methods exist to compute pi, including geometric approaches and infinite series. For instance, one popular technique, the Monte Carlo method, relies on random sampling within a square that encloses a quarter circle. By comparing the ratio of points inside the circle to the total points, one can estimate π. Advances in computing have allowed for calculating pi to billions of digits, highlighting both its mathematical significance and the power of modern technology.