An application of the Monte Carlo method to find the area Ac inside a circle uses a random sample of points Ns in a square area
As surrounding the circle and counts the number of points that are found inside the circle Nc. Which expression describes the estimate for the area inside the circle
1 answer:
Answer:
As*Nc/Ns
Step-by-step explanation:
The square has Ns discrete points. The points are quite large and are close around each other
As = Area of square
Nc = number of points inside square
Ns = total number of points inside square
Ac = area of circle
Such that
Nc/Ns = Ac/As
We cross multiply
AcNs = NcAs
Dividing through by Ns will give:
Ac = NcAs/Na
Which Is also
= As *Nc/Na
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