Inscribe a circle in a unit square and to r= 1000 random.

a. Suppose that 760 of those darts land in the circle.
b. What would our estimate be if we let n â oo and we applied the same ratio strategy?

Respuesta :

Step-by-step explanation:

area of square = 1

area of a circle in square = [tex]\pi r^2 = \pi *(1/2)^2 = \frac{\pi }{4}[/tex]

bu estimate  [tex]p^ = X/n = 760/1000 = 0.76

Therefore,

[tex]\frac{\pi }{4} \approx 0.76[/tex]

[tex]\pi \approx 0.76*4 =3.04[/tex]

b) if n tend to infinity

[tex]\pi will approach 3.14[/tex]