The aim is to estimate the value of Pi by using Monte Carlo estimation method.

The Monte Carlo method is a powerful computational technique that uses random sampling to obtain numerical results. One of its most famous applications is estimating the value of Pi. The method involves generating a large number of random points within a square and then determining how many of those points fall within a quarter circle inscribed. The Monte Carlo method is a powerful computational technique that uses random sampling to obtain numerical results. One of its most famous applications is estimating the value of Pi. The method involves generating a large number of random points within a square and then determining how many of those points fall within a quarter circle inscribed in that square. The ratio of the number of points within the quarter circle to the total number of points generated provides an estimate for Pi.

The significance of the Monte Carlo method in estimating the value of Pi lies in its ability to produce highly accurate results with relatively few calculations. By generating a large number of random points and repeating the process multiple times, the Monte Carlo method can converge to the true value of Pi with a high degree of accuracy. Additionally, the method is easily parallelizable, making it well-suited for use in high-performance computing environments.

Contributors

Dr. Anuj Krishna and entire Team JIGYASA, CSIR-NPL