Question

A target consists of a square region in which a quarter circle is drawn and shaded. The radius of the circle is equal to one side of the (T) by simulating darts being fired randomly at the target. A success is defined as a dart falling within the shaded area. If the computer obtains a value of 3.012 after 1000 shots at the target, how hitting the target is one. А square computer program calculates pi darts landed in the shaded area? Assume that the probability of many

Answer 1

let a be side of square

here as probability of dart inside the shaded region =P(area of shaded region)/P(area of square)

=pi*(a²/4)/(a² ) =pi/4 =3.012/4

let number of darts landed in the shaded ara =n

therefor n/1000=3.012/4

n=(3.012/4)*1000=753