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estimate_pi [2018/10/02 23:07] cthielestimate_pi [2018/10/02 23:08] cthiel
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 {{ ::estimatepi.java |}} {{ ::estimatepi.java |}}
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 +[[https://mathorama.com/pisim.mov|{{:screen_shot_2018-10-02_at_7.52.17_pm.png}}]]
  
 It takes a while to run this simulation to determine an approximate value for π.  Write a program using a ''for'' loop or a ''while'' loop that can run 100,000 dart throws more quickly.  It takes a while to run this simulation to determine an approximate value for π.  Write a program using a ''for'' loop or a ''while'' loop that can run 100,000 dart throws more quickly. 
  
 This works since the ratio of the Area of a circle divided by the Area of the square is pi*r^2 / (2r)^2 = pi/4. The ratio of the darts that land in the circle divided by the darts thrown on the square should be the same ratio, pi/4 (if we throw enough random darts!). So 4 times this proportion is pi! This works since the ratio of the Area of a circle divided by the Area of the square is pi*r^2 / (2r)^2 = pi/4. The ratio of the darts that land in the circle divided by the darts thrown on the square should be the same ratio, pi/4 (if we throw enough random darts!). So 4 times this proportion is pi!
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-[[https://mathorama.com/pisim.mov|{{:screen_shot_2018-10-02_at_7.52.17_pm.png|}} ]] 
estimate_pi.txt · Last modified: 2018/10/02 23:09 by cthiel

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