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For a better experience, please enable JavaScript in your browser before proceeding. You are using an out of date browser. It may not display this or other websites correctly. You should upgrade or use an alternative browser. Thread starter Jamali Asif Start date Jan 19, Jamali Asif New member.
Joined Jan 19, Messages 4. The points with a distance of less than one are "inside a circle"actually it's a quarter of a circle. You really should play around with this because it's fun. Try changing the number of points or something like that. I included a "rate " statement so you can see the points being added. Oh, run it more than onceeach time you get a different result because of the random part.
Get out your calculator. Use 9. Now try this:. That's pretty close to the accepted value of Piand it's not a coincidence. It comes from the original version of the meter as a unit of length.
One way to define a meter is to create a pendulum that takes 1 second to make one swing or 2 seconds for the period. If you remember, there is a relationship between period and length for a pendulum with a small oscillation amplitude :. Put in 1 meter for the length and 2 seconds for the period and boom there is your connection. Here is a more detailed explanation. If you don't think that equation is crazy and awesome, then you aren't paying attention.
It makes a relationship between these five numbers:. But why does this equation work? That's not such a simple answer. Of course, you could use Euler's formula for exponentials:. However, that is sort of like explaining magic with more magic. The website piday. Pi has been known for nearly 4, years and was discovered by ancient Babylonians.
A tablet from somewhere between B. The ancient Egyptians were making similar discoveries, as evidenced by the Rhind Papyrus of B. In this document, the Egyptians calculated the area of a circle by a formula giving pi an approximate value of 3.
There is even a biblical verse where it appears pi was approximated:. And he made a molten sea, ten cubits from the one brim to the other: it was round all about, and his height was five cubits: and a line of thirty cubits did compass it about.
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