Find the area of the circle

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Reference no: EM13698746

You need to find the area of the circle

Recall that π is the ratio of a circle's circumference to its diameter and that we can calculate the area of a circle with the formula A=πr2

Below is a circle described within the unit square?      

Question: What is the ratio of the areas of the inscribed circle to that of the unit square?

If we pick a random point within the unit square what is the probability that the point will also lie within the circle?

If we repeat this experiment an arbitrarily large number of times the ratio of the number of points which lie within the circle to the number of points within the unit square (all of them) will approach?

Using the language structures we have discussed prepare a program that will do the above experiment an arbitrary (determined at run-time) number of times and report back the estimated value of ?

Reference no: EM13698746

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