as we all know, pi is what you use in several equations for circles. One can find pi by gatting a circle with a diameter of exactly one then measuring the circumference. Now, id there something behind pi or is is just another irrational number?
is there something behind pi?
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Yes. It and root two will together form an unholy alliance and will bring down the integer republic.
Epic detective work.nicole1207 said:
All I know is that it's used for circles. Nothing really special.
It's the ratio between circumference and diameter, radius and area, and a whole bunch of higher math and physics problems will use it again. Math just happens to work out nicely some times and limit the number of random and annoying constants, but no, outside of math and physics, it has no point
The pie is really a spy
Once everyone caught onto the cake being a spy, he switched to another dessert
Once everyone caught onto the cake being a spy, he switched to another dessert
That's not all, it has a bunch of useful applications in some other areas of Maths/PhysicsMetric Monkey said:
Most people won't need it ever in their daily lives, but meh
=]
I've actually wondered about that myself. When you draw 3 different circles, the diameter, radius and circumference all always change. Pi always stays the same, for any circle.
If you compare that to a rectangle; whenever you draw 3 different rectangles, the edges will always be different - the number that always stays the same is de 90 degrees the corners are. Which leads me to believe that Pi *has* to be something tangible every circle has, though I cannot explain or begin to imagine what it would be - my best guess so far is that pi is distance between X amount of curves that have to be made in a straight line to make it a circle.
If you compare that to a rectangle; whenever you draw 3 different rectangles, the edges will always be different - the number that always stays the same is de 90 degrees the corners are. Which leads me to believe that Pi *has* to be something tangible every circle has, though I cannot explain or begin to imagine what it would be - my best guess so far is that pi is distance between X amount of curves that have to be made in a straight line to make it a circle.
It's the ratio (1:3.14) of a straight line to a circle. That's why people use it to calculate circumference, circle areas, etc.
Say that the radius is the 1 in the above ratio, a straight line. A circumference is πr, which means you're multiplying the 1 above by the 3.14 above.
Say that the radius is the 1 in the above ratio, a straight line. A circumference is πr, which means you're multiplying the 1 above by the 3.14 above.
It's a very deep number. It crops up all over the place in higher maths. Even things that obviously have nothing to do with circles. Some examples:
<img src=http://mathurl.com/yaub323.png>
<img src=http://mathurl.com/yhp2l9h.png>
<img src=http://mathurl.com/y86yvhs.png><img src=http://mathworld.wolfram.com/images/equations/PiFormulas/Inline79.gif>
<img src=http://mathworld.wolfram.com/images/equations/PiFormulas/NumberedEquation22.gif>
and of course the most wonderful bit of maths that exists:
<img src=http://mathurl.com/yfans2d.png>
<img src=http://mathurl.com/yaub323.png>
<img src=http://mathurl.com/yhp2l9h.png>
<img src=http://mathurl.com/y86yvhs.png><img src=http://mathworld.wolfram.com/images/equations/PiFormulas/Inline79.gif>
<img src=http://mathworld.wolfram.com/images/equations/PiFormulas/NumberedEquation22.gif>
and of course the most wonderful bit of maths that exists:
<img src=http://mathurl.com/yfans2d.png>