Question

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?

Answer 1

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Explanation:

Answer 2

Explanation:

area of square = 1

area of a circle in square =
`\pi r^2 = \pi *(1/2)^2 = (\pi )/(4)`

bu estimate
`p^ = X/n = 760/1000 = 0.76</p><p>Therefore, </p><p> [tex](\pi )/(4) \approx 0.76`

`\pi \approx 0.76*4 =3.04`

b) if n tend to infinity

`\pi will approach 3.14`