Program to calculate pie, C/C++ Programming

This problem familiarizes you with using random numbers in C++. The program is to compute a good approximation of π using a simulation method called "Monte Carlo". The following figure shows a circle of radius 1, centered at the origin and circumscribed by a square.

535_program.png

Imagine that this is a dartboard and that you are tossing darts at it randomly. With enough darts, the ratio of darts in the circle (Nc) to total darts thrown (Nt) is approximately equal the ratio between the area of the circle (circle_area = π(1)2) and the area of the square (square_area = 4) i.e.

2454_equation.png

Therefore, 4=NC/NT . We can simplify the math by only considering the first quadrant, calculating the ratio of the number of darts landed on the first quadrant over the number of darts landed on the top right square's area.

Use the Euclidean distance formula, to check if a dart is landed inside the first quadrant. Maintain account of the number of darts that end up in the first quadrant of the unit circle.

Now use your loop to build a π-calculating function. The function should take one argument specifying the number of dart throws to run. It should return the decimal value of π, using the technique outlined above. You should get pretty good results for around 5,000,000 dart throws! Isn't this neat?

Posted Date: 2/15/2013 7:40:27 AM | Location : United States







Related Discussions:- Program to calculate pie, Assignment Help, Ask Question on Program to calculate pie, Get Answer, Expert's Help, Program to calculate pie Discussions

Write discussion on Program to calculate pie
Your posts are moderated
Related Questions

Virtual Webcam effects - Setup and Source code with Nice User Interface Project Description: I want a similar webcam effects application which can apply effects to webcam fee

develop a program read the following information from the keyboard in which base class consist of employee name code and destingnation the derived class contain the data members th

Unary Minus Operator( Negation) This operand can be used to negate the value of a variable. It is also used to state a negative number, here a minus(-) sign is prefixed to the

Define the Data Type Qualifiers in c Language? 1. const 2. volatile const: The const qualifier is used to tell C that the variable value can't change after initialization.

(RationalNumber Class) A rational number is a number that can be represented as the quotient of two integers. For example, 1/3, 5/7, 7/2, and so forth are rational numbers (By 2/1

Ask question #Minimum 100 words acceptedEducational Objectives: After completing this assignment, the student should be able to accomplish the following: Apply generic algorithms i

Can I drop the [] while deleteing array of some built-in type (char, int, etc)? A: No. you can't Sometimes programmers think that the [] in the delete[] p only present so the