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Download the one sprite and 2 scripts of "pi from area" and open it in Scratch Project Notes
This project estimates pi by comparing the area of a circle to the area of a square, dropping points randomly in a square to esitmate area. This is not an efficient way to compute pi, but it nicely illustrates random sampling.
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I used a very similar approach to this in my C++ class at school to approximate the area of pi, only you could pick how many random points.
Where did you go?
you live un santa cruz? lol me too
I managed to speed it up a bit and let it run for 100,000 samples, but it came consistently to about -0.015 of pi. Since it never (at the end) went above the true value of pi in the 3 tests that I did, seemingly, the random number generator in Scratch is probably only pseudo-random, or I did not do enough tests. Is there any part of statistics that might predict the value of pi that I got with 100,000 tests to be within this range, however?
To make it a little more efficien, you could make it so it goes line by line, with the script copied within the forever loop. That i good for optomization.
This is cool and a great idea. If you could show the math a bit and advise the looker to be patient they will get it. Not many people have dowloaded it so i fear not many lookers got it. Look at my game Susa you will like it!
Can you help me you're a forum moderator (link to forums)
From statistics, we can work out that both the mean and the variance of the number of points in the circle is n*pi/4. That means that the standard deviation of the estimate of pi will be about pi/sqrt(n). After 10000 samples, you expect to be within about +- 0.03 of pi.
its a good priject but i am actually suprised at how ineffiecient it is.
this is similar to my project
cool