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help-10
9631272de3f640449d0f7255841cf21b
706,934,233,012,371,600
Ansh_
01/25/2022 08:07:55
WAIT
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9631272de3f640449d0f7255841cf21b
649,984,702,010,359,800
leonard
01/25/2022 08:08:02
IM WAITING
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help-10
9631272de3f640449d0f7255841cf21b
706,934,233,012,371,600
Ansh_
01/25/2022 08:08:10
YOUR QUESTION MAKES ABSOLUTELY NO SENSE
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help-10
9631272de3f640449d0f7255841cf21b
706,934,233,012,371,600
Ansh_
01/25/2022 08:08:12
=_=
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help-10
9631272de3f640449d0f7255841cf21b
649,984,702,010,359,800
leonard
01/25/2022 08:08:16
IDK
0
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help-10
9631272de3f640449d0f7255841cf21b
649,984,702,010,359,800
leonard
01/25/2022 08:08:27
DID YOU FIND A COUNTEREXAMPLE
0
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help-10
9631272de3f640449d0f7255841cf21b
706,934,233,012,371,600
Ansh_
01/25/2022 08:08:35
x1 = 1, xn = -1 satisfies the question
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help-10
9631272de3f640449d0f7255841cf21b
706,934,233,012,371,600
Ansh_
01/25/2022 08:08:38
and x =0
0
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help-10
9631272de3f640449d0f7255841cf21b
706,934,233,012,371,600
Ansh_
01/25/2022 08:08:40
so P = 0
0
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help-10
9631272de3f640449d0f7255841cf21b
706,934,233,012,371,600
Ansh_
01/25/2022 08:08:52
:pandaScreams: aaaaaaaa but then again it's a particular case ;-;
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help-10
9631272de3f640449d0f7255841cf21b
706,934,233,012,371,600
Ansh_
01/25/2022 08:09:01
how to prove for geeeneral
0
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help-10
9631272de3f640449d0f7255841cf21b
649,984,702,010,359,800
leonard
01/25/2022 08:09:05
aaaaaaaaaaaaa
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help-10
9631272de3f640449d0f7255841cf21b
726,958,710,366,273,700
Stargazer
01/25/2022 08:09:10
oof
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help-10
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Ansh_
01/25/2022 08:09:19
help 🥺
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9631272de3f640449d0f7255841cf21b
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leonard
01/25/2022 08:09:26
cant believe this was for 9th grade exam takers
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help-10
9631272de3f640449d0f7255841cf21b
649,984,702,010,359,800
leonard
01/25/2022 08:09:33
t_t
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help-10
9631272de3f640449d0f7255841cf21b
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Stargazer
01/25/2022 08:09:40
i'm trying......... i also don't know the answer
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help-10
9631272de3f640449d0f7255841cf21b
706,934,233,012,371,600
Ansh_
01/25/2022 08:09:40
they can just put in the values smh
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help-10
9631272de3f640449d0f7255841cf21b
726,958,710,366,273,700
Stargazer
01/25/2022 08:09:56
but you can see that all the x1, x2,.... can't all have the same sign
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Stargazer
6767
Stargazer
false
277
help-10
9631272de3f640449d0f7255841cf21b
706,934,233,012,371,600
Ansh_
01/25/2022 08:10:20
since it's true for all integers that follow the equation
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help-10
9631272de3f640449d0f7255841cf21b
726,958,710,366,273,700
Stargazer
01/25/2022 08:10:34
e.g. if they were all positive, then the absolute value of the product of (1+x1) etc is strictly larger than the absolute value of the product of (1-x1) etc
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help-10
9631272de3f640449d0f7255841cf21b
726,958,710,366,273,700
Stargazer
01/25/2022 08:11:01
so you can split up the x_i : some are positive, and some are negative..........
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Ansh_
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help-10
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Stargazer
01/25/2022 08:11:28
i'm trying to see if there's some argument which makes the number of positive ones equal to the number of negative ones
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leonard
5010
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Stargazer
01/25/2022 08:13:11
hmm, also the number of x_i which are negative has to be even
0
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help-10
9631272de3f640449d0f7255841cf21b
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leonard
01/25/2022 08:13:21
fine
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help-10
9631272de3f640449d0f7255841cf21b
649,984,702,010,359,800
leonard
01/25/2022 08:13:33
~~im looking up the solution~~
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9631272de3f640449d0f7255841cf21b
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Stargazer
01/25/2022 08:13:42
go for it xD
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help-10
9631272de3f640449d0f7255841cf21b
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Ansh_
01/25/2022 08:14:58
I'm getting the polynomial vibes smh
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leonard
01/25/2022 08:16:57
ok
0
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help-10
9631272de3f640449d0f7255841cf21b
649,984,702,010,359,800
leonard
01/25/2022 08:17:00
the ans was 0
0
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help-10
9631272de3f640449d0f7255841cf21b
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leonard
01/25/2022 08:17:23
heh
0
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9631272de3f640449d0f7255841cf21b
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Stargazer
01/25/2022 08:17:51
actually, @leonard , in the case of two variables, how did you conclude that x1 = -x2 ?
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help-10
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leonard
01/25/2022 08:17:56
oh
0
1
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help-10
9631272de3f640449d0f7255841cf21b
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leonard
01/25/2022 08:17:57
just
0
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help-10
9631272de3f640449d0f7255841cf21b
706,934,233,012,371,600
Ansh_
01/25/2022 08:17:58
obv 😂 aren't we trying to prove?
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help-10
9631272de3f640449d0f7255841cf21b
649,984,702,010,359,800
leonard
01/25/2022 08:18:02
swap it out
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help-10
9631272de3f640449d0f7255841cf21b
649,984,702,010,359,800
leonard
01/25/2022 08:18:14
or you could do some
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help-10
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Stargazer
01/25/2022 08:18:17
if you managed to do that, then you might be able to apply some kind of induction argument
0
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help-10
9631272de3f640449d0f7255841cf21b
649,984,702,010,359,800
leonard
01/25/2022 08:18:19
algebra stuff
0
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help-10
9631272de3f640449d0f7255841cf21b
649,984,702,010,359,800
leonard
01/25/2022 08:18:23
woah
0
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help-10
9631272de3f640449d0f7255841cf21b
649,984,702,010,359,800
leonard
01/25/2022 08:18:29
i think the ans is abt induction
0
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help-10
9631272de3f640449d0f7255841cf21b
649,984,702,010,359,800
leonard
01/25/2022 08:18:30
wait
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help-10
9631272de3f640449d0f7255841cf21b
649,984,702,010,359,800
leonard
01/25/2022 08:19:15
oh i forgot we have the least rigorous maths around here
0
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help-10
9631272de3f640449d0f7255841cf21b
726,958,710,366,273,700
Stargazer
01/25/2022 08:19:26
lol it's okay
0
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help-10
9631272de3f640449d0f7255841cf21b
726,958,710,366,273,700
Stargazer
01/25/2022 08:19:32
i'm not fond of rigor myself........
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help-10
9631272de3f640449d0f7255841cf21b
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Stargazer
01/25/2022 08:19:37
as long as it makes sense to me i'm good
0
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help-10
9631272de3f640449d0f7255841cf21b
649,984,702,010,359,800
leonard
01/25/2022 08:19:46
they had split it into 2 cases
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help-10
9631272de3f640449d0f7255841cf21b
649,984,702,010,359,800
leonard
01/25/2022 08:20:07
1st case is assume x1=x2=…=x9=0
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help-10
9631272de3f640449d0f7255841cf21b
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leonard
01/25/2022 08:20:11
gosh i love this country
0
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help-10
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Stargazer
01/25/2022 08:20:16
lol
0
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help-10
9631272de3f640449d0f7255841cf21b
726,958,710,366,273,700
Stargazer
01/25/2022 08:20:34
right, easy case covered. Next case?
0
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help-10
9631272de3f640449d0f7255841cf21b
649,984,702,010,359,800
leonard
01/25/2022 08:21:05
https://cdn.discordapp.c…970/IMG_0389.png
IMG_0389.png
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help-10
9631272de3f640449d0f7255841cf21b
649,984,702,010,359,800
leonard
01/25/2022 08:21:07
i have no idea
0
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9631272de3f640449d0f7255841cf21b
649,984,702,010,359,800
leonard
01/25/2022 08:21:47
ooh
0
1
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help-10
9631272de3f640449d0f7255841cf21b
649,984,702,010,359,800
leonard
01/25/2022 08:21:49
i get it
0
1
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help-10
9631272de3f640449d0f7255841cf21b
726,958,710,366,273,700
Stargazer
01/25/2022 08:21:50
oohh I get it!!
0
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help-10
9631272de3f640449d0f7255841cf21b
726,958,710,366,273,700
Stargazer
01/25/2022 08:21:53
LOL
0
1
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277
help-10
9631272de3f640449d0f7255841cf21b
649,984,702,010,359,800
leonard
01/25/2022 08:21:57
woah
0
1
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help-10
9631272de3f640449d0f7255841cf21b
649,984,702,010,359,800
leonard
01/25/2022 08:22:01
were twins
0
1
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help-10
9631272de3f640449d0f7255841cf21b
726,958,710,366,273,700
Stargazer
01/25/2022 08:22:04
IKR
0
1
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help-10
9631272de3f640449d0f7255841cf21b
726,958,710,366,273,700
Stargazer
01/25/2022 08:22:34
so with an odd number of x_i, if none of them are zero, then x^2 would be < 0
0
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help-10
9631272de3f640449d0f7255841cf21b
726,958,710,366,273,700
Stargazer
01/25/2022 08:22:44
cool
0
1
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help-10
9631272de3f640449d0f7255841cf21b
649,984,702,010,359,800
leonard
01/25/2022 08:23:51
t^t
0
1
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277
help-10
9631272de3f640449d0f7255841cf21b
726,958,710,366,273,700
Stargazer
01/25/2022 08:25:10
now I can relax xD
0
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9631272de3f640449d0f7255841cf21b
649,984,702,010,359,800
leonard
01/25/2022 08:30:01
what a weird contradiction
0
1
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649,984,702,010,359,800
leonard
01/25/2022 08:30:08
.close
0
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369,130,708,066,893,800
Botinho
01/25/2022 08:32:08
If we have this, what is x/y equal to then?
https://cdn.discordapp.c…0514/unknown.png
unknown.png
1
0
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Omegabet_
01/25/2022 08:35:13
unknown
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Botinho
01/25/2022 08:36:06
There isn't a specific rule so I can express the sin x / sin y ?
1
0
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help-10
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ramonov
01/25/2022 08:36:25
nope
0
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ramonov
01/25/2022 08:36:31
there isn't anything meaningful you can do with it
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help-10
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Botinho
01/25/2022 08:36:39
k, ty
1
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Ansh_
01/25/2022 08:37:05
Oh I get it!
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Botinho
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Botinho
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Ansh_
01/25/2022 08:37:41
You were right about multiplying with conjugate smh, should've divided by x^2 instead of (conjugate)^2 = 1
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leonard
01/25/2022 08:37:58
🥲
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help-10
51e7103f66ff4a3cb48be41a070be5c7
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Jabez
01/25/2022 09:25:51
help
1
0
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Jabez
01/25/2022 09:26:06
can someone explain this to me
https://cdn.discordapp.c…9552/unknown.png
unknown.png
1
0
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51e7103f66ff4a3cb48be41a070be5c7
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Jabez
01/25/2022 09:26:22
this is the answer
1
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leonard
5010
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279
help-10
51e7103f66ff4a3cb48be41a070be5c7
616,466,349,295,796,200
Jabez
01/25/2022 09:26:34
but i dont really know
1
0
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help-10
51e7103f66ff4a3cb48be41a070be5c7
537,482,727,557,955,600
Chai T. Rex
01/25/2022 09:28:45
@Jabez When you see A = πr², each of the letters there is a variable. Variables are numbers we might not know just yet.
0
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help-10
51e7103f66ff4a3cb48be41a070be5c7
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Jabez
01/25/2022 09:29:17
https://cdn.discordapp.c…3124/unknown.png
unknown.png
1
0
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help-10
51e7103f66ff4a3cb48be41a070be5c7
616,466,349,295,796,200
Jabez
01/25/2022 09:29:23
this in the question
1
0
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help-10
51e7103f66ff4a3cb48be41a070be5c7
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Chai T. Rex
01/25/2022 09:29:34
So, A is the number that stands for the area the inside of the circle covers. r is the number that stands for the radius of the circle.
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help-10
51e7103f66ff4a3cb48be41a070be5c7
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Chai T. Rex
01/25/2022 09:29:41
Does that make sense so far?
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51e7103f66ff4a3cb48be41a070be5c7
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Jabez
01/25/2022 09:30:08
yeah
1
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Jabez
9935
Jabez
false
279
help-10
51e7103f66ff4a3cb48be41a070be5c7
616,466,349,295,796,200
Jabez
01/25/2022 09:30:12
i think so
1
0
null
null
null
null
null
279
help-10
51e7103f66ff4a3cb48be41a070be5c7
537,482,727,557,955,600
Chai T. Rex
01/25/2022 09:30:39
OK, so if we know the radius is 2, then we know that r is 2, since r is the number that's how big the radius is.
0
1
null
null
null
null
null
279
help-10
51e7103f66ff4a3cb48be41a070be5c7
537,482,727,557,955,600
Chai T. Rex
01/25/2022 09:30:51
If r is 2, we can replace it with 2.
0
1
null
null
null
null
null
279
help-10
51e7103f66ff4a3cb48be41a070be5c7
616,466,349,295,796,200
Jabez
01/25/2022 09:31:06
so it would be
1
0
null
null
null
null
null
279
help-10
51e7103f66ff4a3cb48be41a070be5c7
537,482,727,557,955,600
Chai T. Rex
01/25/2022 09:31:09
Any time we know that a variable is equal to something else, we can replace it with that something else.
0
1
null
null
null
null
null
279
help-10
51e7103f66ff4a3cb48be41a070be5c7
616,466,349,295,796,200
Jabez
01/25/2022 09:31:27
π2²
1
0
null
null
null
null
null
279
help-10
51e7103f66ff4a3cb48be41a070be5c7
304,447,529,192,259,600
ShadowDragon
01/25/2022 09:31:29
$4\pi$
0
1
null
null
null
null
null
279
help-10
51e7103f66ff4a3cb48be41a070be5c7
537,482,727,557,955,600
Chai T. Rex
01/25/2022 09:31:31
A = πr² A = π(2)²
0
1
null
null
null
null
null
279
help-10
51e7103f66ff4a3cb48be41a070be5c7
510,789,298,321,096,700
TeXit
01/25/2022 09:31:31
https://cdn.discordapp.c…529192259585.png
304447529192259585.png
0
1
null
null
null
null
null
279
help-10
51e7103f66ff4a3cb48be41a070be5c7
537,482,727,557,955,600
Chai T. Rex
01/25/2022 09:31:34
Exactly.
0
1
null
null
null
null
null
279
help-10
51e7103f66ff4a3cb48be41a070be5c7
537,482,727,557,955,600
Chai T. Rex
01/25/2022 09:31:42
It's π times 2².
0
1
null
null
null
null
null
279
help-10
51e7103f66ff4a3cb48be41a070be5c7
537,482,727,557,955,600
Chai T. Rex
01/25/2022 09:31:49
Which is 4π.
0
1
null
null
null
null
null
279
help-10
51e7103f66ff4a3cb48be41a070be5c7
537,482,727,557,955,600
Chai T. Rex
01/25/2022 09:31:55
Does it make sense how we got there?
0
1
null
null
null
null
null
279
help-10
51e7103f66ff4a3cb48be41a070be5c7
616,466,349,295,796,200
Jabez
01/25/2022 09:32:09
what would π mean
1
0
null
null
null
null
null
279
help-10
51e7103f66ff4a3cb48be41a070be5c7
183,668,144,404,037,630
Ann
01/25/2022 09:32:26
pi is pi
0
1
null
null
null
null
null