Sunday, November 1, 2015

Throw a lot of darts......

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Some math students have read about how a blind dart shooter can be used to approximate π.

The basic process is based on the fact that, when randomly thrown, darts hit portions of the target board at a rate corresponding to the area of that portion in relation to the whole board. here we have a circle (area πr2) and a square (with area 4r2). So the ratio of darts hitting the circle to the the darts thrown should be the ration of these areas, which is π/4.

Take note: to get a really good approximation, you have to throw a lot of darts, and awful lot of darts!
Disclaimer: a skilled dart shooter would mess up the pi!!

The original file is here.

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