Estimate Pi

Estimate Pi using Monte Carlo Method

S_square = L*L
S_circle = Pi*(L/2)²

Draw random dots, with sufficient dots, the probability of dots appearing in the circle approaximately equals the area of the circle within the area of the square:

N_circle (number of dots in circle) ⁄ N_square (number of dots in square) ≈ S_circle ⁄ S_square = (Pi*(L/2)²) ⁄ (L*L)

=> Pi = N_circle ⁄ N_square *4