2015-03-29, post № 2
mathematics, programming, Pygame, Python, #circle, #generator, #pi
Using Python and Pygame I created a program which approximates 𝜋. On the square screen points will randomly appear. Based on the distance to the center the points get a different color. Divided into two groups (the red points and the gray points) the program can roughly estimate 𝜋.
How it calculates
- The red points represent the circle area.
- The gray points represent the square area minus the circle area. Thus the gray points and the red points the square area.
- We get , when we divide one by another.
- Lastly, we need to multiply by four to get 𝜋.