Easy. Take a wire that is exactly 1 meter long. Form a circle from the wire. The circumference of that circle is 1 meter.
this post was submitted on 14 Mar 2024
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"exactly"
uh huh. and how are you measuring that?
Now the engineers and/or scientists are crying
You don't need to, it's defined. (Lol). If you take a circle with a circumference of 1, then its circumference will be 1... I think I might have lost some braincells reading this.
He obviously meant to say how do you measure that it’s exactly 1m, even when still in a straight line. Exactly being the key word here.
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I don't have to measure it. I stick under glass and define it as the standard which all other measurements are derived from.
I will be measuring it in meters. One. There you go.
Ok, you got another source of water - physicists.
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Not true. If you define the circumference in terms of pi, you can define the circumference exactly.
"Find" not "define"
Putting things in base 10 is also a definition. Digits aren't special.
Was going to say the same. Also π isn't infinite. Far from it. it's not even bigger than 4. It's representation in the decimal system is just so that it can't be written there with a finite number of decimal places. But you could just write "π". It's short, concise and exact.
And by that definition 0.1 is also infinite... My computer can't write that with a finite amount of digits in base 2, which it uses internally.
So... I'm crying salty tears, too.
[Edit: And we don't even need transcendental numbers or other number systems. A third also doesn't have a representation. So again following the logic... you can divide a cake into 5 pieces, but never into 3?!]
Can pi be expressed with a finite amount of digits in another number system?
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That doesnt make a difference. You can find the exact circumference of a circle, you just cant express it in the decimal system as a number (thats why we have a symbol for it so you can still express the exact value)
Also
Pi = 4! = 4×3×2 = 24
Omfg why can’t I figure out why this does not work. Help me pls
I think it's because no matter how many corners you cut it's still an approximation of the ~~circumference~~ area. There's just an infinite amount of corners that sticks out
There’s just an infinite amount of corners that sticks out
Yes. And that means that it is not an approximation of the circumference.
But it approximates the area of the circle.
True, thanks for the correction
It's a fractal problem, even if you repeat the cutting until infinite, there are still a roughness with little triangles which you must add to Pi, there are no difference between image 4 and 5, the triangles are still there, smaller but more. But it's a nice illusion.
Because you never make a circle. You just make a polygon with a perimeter of four and an infinite number of sides as the number of sides approaches infinity.
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The lines in this are askew and it's mildly annoying
They're there to askew why the logic doesn't work.
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Let's say you got a circle with radius 1/π...
came here for this
Nasa uses 15 digits of pi for solar system travel. And 42 digits is enough to calculate the entire universe to atomic accuracy
And 65 digits is sufficient to calculate the circumference of the visible universe to within a Planck length.
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Not if your diameter is d/pi. Then your circumference is d, where d > 0.
Check mate atheists.
Check mate matheists.
Ftfy.
Technically you can't measure anything accurately because there's an infinite amount of numbers between 1 and 0. Whose to say it's exactly 1? It could be off by an infinite amount of 0s and 1.
Achilles and the Tortoise paradox.
Joke's on them, tears are too salty to provide hydration.
The circumference of a circle with a diameter of 1 cm is exactly π cm. There you have it.
m e a s u r e
Bah, the universe is too messy and disordered to be worth the trouble
Besides measuring it with a measuring tape.
Prove it.
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