Points inside the circle

0

Points outside the circle

0

Total

0

Value of Pi(π)

0

Percentage error

0

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.

**1. Monte Carlo method is a technique used to solve
mathematical problems using**

**2. Which of the following problems can be solved
using the Monte Carlo method?**

**3. The Monte Carlo method is based on:**

**4. The value of Pi can be estimated using the Monte
Carlo method by:**

**5. To increase the accuracy of the estimated value
of Pi using the Monte Carlo method, we should:
**

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

Presented by CSIR NPL