[challenge] estimate Pi with Monte Carlo Method � 🎰� 🎰� 🎰� 🎰

Question

Given a circle with radius r and middlepoint x,y
Given a square wiht length 2r and same middlepoint as circle

The area of the circle is r^2 * PI
The area of the square is 4r^2

Hence the ratio area of circle / area of square is Pi/4

How to program that?
Randomly create about 20000 points within the square.
How many of them are points inside the circle?
Figure the ration mentioned above and multiply with 4. It should be about PI

Hint: a point is in the circle, if the distance to middlepo

Answer 1

My try:
https://code.sololearn.com/WyoAh0qL5ohe/?ref=app

Answer 2

This reminds me the awesome animation by Calvin:
https://code.sololearn.com/WHOsWK01C9yY/?ref=app

Answer 3

Here an easy version in Python
https://code.sololearn.com/cAnX34L9y43h

Answer 4

https://code.sololearn.com/WyALDISxigXf/?ref=app

Answer 5

PI approximation

https://code.sololearn.com/W311eN8KhKqe/?ref=app

Answer 6

another python approximation
https://code.sololearn.com/cE0T5Jl1r1l9/?ref=app

Answer 7

https://code.sololearn.com/WTGcnhKhE8W4/?ref=app

Answer 8

https://code.sololearn.com/W21E6KwUV1tx/?ref=app

Answer 9

hai