CODEWITHSUNDEEP
sequencemontecarlopigeogebra
DoubleFishFire
DoubleFishFire

Reputation: 43

Monte Carlo estimation of Pi in Geogebra

I am trying to plot the Monte Carlo estimation of Pi in Geogebra.

I created a circle with radius 1, centered at the origin, and it is inscribed in a square.

To generate a sequence of n random points (determined by a slider), I added the following code in the input bar:

Sequence((RandomBetween(-1,1), RandomBetween(-1,1), i, 1, n)

The points appearing are only on the coordinates (-1,0), (1, 0), (0,1), (0, -1), and (0,0).

How do I get the points to appear on decimal values as well? For example (0.2, 0.4)?

Upvotes: 0

Views: 125

Answers (1)

Zbynek
Zbynek

Reputation: 517

You can use RandomUniform for this, i.e 

points = Sequence((RandomUniform(-1,1), RandomUniform(-1,1)), i, 1, n)

with a recent version of GeoGebra RandomPointIn will also work

points = Sequence(RandomPointIn(-1, 1,-1, 1), i, 1, n)

With either of those you can get the estimate of pi as

p = 4 * CountIf(abs(A) < 1, A, points)/n

Upvotes: 0

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