In Matlab:

Approximation of Tt. The area of a circle is given by A Tr2 where r is the radius. Assume a circle with r 0.5 embedded in a unit square. A point in the unit square is defined by p-(x, y), where 0 s (x.y) 5 1. If we draw neot times two uniformly distributed random numbers (x.y) and count how often the corresponding points falls into the circle (ncirc), we get an approximation of the circle area by ncrot and by that of the number write a which approximates t by the described method. How many draws do you need to get the first three digits right? Approximation of Tt. The area of a circle is given by A Tr2 where r is the radius. Assume a circle with r 0.5 embedded in a unit square. A point in the unit square is defined by p-(x, y), where 0 s (x.y) 5 1. If we draw neot times two uniformly distributed random numbers (x.y) and count how often the corresponding points falls into the circle (ncirc), we get an approximation of the circle area by ncrot and by that of the number write a which approximates t by the described method. How many draws do you need to get the first three digits right