A suitable solution for approximately determining the value of Pi is using a Monte Carlo simulation. This is a method that uses random samples of inputs to explore the behavior of complex processes or systems. The method is used in a large variety of applications and domains, including physics, engineering, computing, finance, business, and others.
To do this we will rely on the following idea: the area of a circle with diameter d is PI * d^2 / 4. The area of a square that has the length of its sides equal to d is d^2. If we divide the two we get PI/4. If we put the circle inside the square and generate random numbers uniformly distributed within the square, then the count of numbers in the circle should be directly ...
