Mathematical Question || Is a Circle a Polygon?

[Fredulus]

it would be 0.(0)1

Infinite zeros. Is that even worth calling anything but 0?

not practically, no

but this whole argument isn't practical

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[Teneksi]

not practically, no

but this whole argument isn't practical

Well then that's that, personally.

[Doomonkey]

All I see here is people hiding in their 1st grade math lessons. I've tried to provide logical arguments as to why these statements are not true. You guys just keep on trying to explain your elementary ways with arguments which, upon further inspection, are filled with holes and are not consistent.

I have provided a logical argument as to why 0.(9) is not equal to one. You have only sat here and said, "You're a moron. Our teacher said you're wrong."

[Doomonkey]

You guys need to actually think about this one. Don't take what other people say for granted.

[Fredulus]

All I see here is people hiding in their 1st grade math lessons. I've tried to provide logical arguments as to why these statements are not true. You guys just keep on trying to explain your elementary ways with arguments which, upon further inspection, are filled with holes and are not consistent.

I have provided a logical argument as to why 0.(9) is not equal to one. You have only sat here and said, "You're a moron. Our teacher said you're wrong."

it's quite loving obvious .(9) would not equal 1, i don't know why people would even try to convince themselves of that. i mean, for all PRACTICAL purposes it is equal to 1 since it's infinitely close, but advanced math isn't really practical lol.

[thaky]

x = 0.999...

>Define variable

10x = 9.999...
10x-x = 9

>Subtract one x.

9x = 9

>Divide both sides by 9.

x = 1

>まほ～

1.) where did you get the '1'
2.) you don't divide both sides you add like:

 9x = 9
-9      +9
----------------------
that would make:

0x(or 0) = 18

so that doesn't work...

A circle has one side.

Also, 0.999... = 1 まほ～

Now I get that because if you look at a circle on like paint.net (or any other drawing program) you would find that a circle has one flat side...

[Teneksi]

for all PRACTICAL purposes it is equal to 1

So, for all intents and purposes, 0.(9) is equal to one. So why call it anything but one if it is in fact infinitely close to 1?

1 - 0.(9) = 0.(0)1, which is infinitely small. At that point, it isn't even a thing. It's only an idea. It is nothing. It is zero. 0.(9), or 1 - 0.(0)1, would be 1.

IN MY OPINION. (which I add as it has changed within the last hour)

[Kingdaro]

1.) where did you get the '1'
2.) you don't divide both sides you add like:

 9x = 9
-9      +9
----------------------
that would make:

0x(or 0) = 18

so that doesn't work...

9 is being multiplied with x, so you do the opposite of multiplication, division, and not addition or subtraction, because you can't subtract 9 from 9x.

[SpreadsPlague]

1.) where did you get the '1'
2.) you don't divide both sides you add like:

 9x = 9
-9      +9
----------------------
that would make:

0x(or 0) = 18

no .. you would divide by 9. it helps if you know what you're talking about first bro

[Teneksi]

Back to the actual topic?


A polygon has sides which can be measured, and a circle does not have any measured sides. It has angle measurements, which refer to one of the infinite points on the circle. You can say that those points are finite but they are finite in the way that the amount of numbers between 0 and 1 is finite. As a shape it is not treated the same way a polygon is treated.

You find a "side" (rather, a single point on the curve) through angle measurements, not by it actually being a side with a length.

[Doomonkey]

0.(9) = 1 - 1/infinity
Yes

Multiply both sides by infinity.

infinity x 0.(9) = infinity - 1

Clearly a difference.

[Teneksi]

0.(9) = 1 - 1/infinity
Yes

Multiply both sides by infinity.

infinity/0.(9) = infinity - 1

Clearly a difference.

An infinitely small difference.

[Doomonkey]

0.(9) = 1 - 1/infinity
Yes

Multiply both sides by infinity.

infinity x 0.(9) = infinity - 1

Clearly a difference.

Whoops, I put a division sign instead of a multiplication sign.

[Teneksi]

I think of it this way:

0.(0)1

Before we get to that 1, we have to get through infinite zeros.
Infinite, by definition, means it has no end.
Never-ending nothingness.
You never reach the 1.

What happens when you subtract from 1 a number that never stops being nothing?
nothing.

[PowerDag]

A circle has infinite sides, but it has sides.
Technically, it is a polygon.