Use Monte Carlo Simulation to approximate pi by considering the percentage of points with coordinates (x,y) generated randomly by choosing x and y both between 0 and 1, inside the unit quarted circle
Q: X^2 + y^2 = 1, x>=0 y>=0
when the quarter circle is taken to be inside the square
S: 0<=x<=1 and 0<=y<=1
Use approximation pi/4 = area Q / area S.
Hint: Do the simulation 10000 times and then 100000. (meaning
choose the value of x and y randomly 10000 times and then 100000
times all between 0 and 1. find out how many times the pair of
(x,y) falls inside the Q and divide that by the total number of
trials. Does the zccuracy of pi increase as the number of trials
increase?)
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Use Monte Carlo Simulation to approximate pi by considering the percentage of points with coordinates (x,y)...
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