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The Best Explanation of Pi 

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A simple way to understand pi. The number π is a mathematical constant, approximately equal to 3.14159. It is defined in Euclidean geometry[a] as the ratio of a circle's circumference to its diameter, and also has various equivalent definitions.

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10 сен 2024

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Комментарии : 534   
@bgg5090
@bgg5090 Год назад
Finally! Someone explaining this in 60 seconds, without some self-indulgent rant that lasts for 30 minutes and only confuses the viewer. Thank you!
@PeterGeras
@PeterGeras 11 лет назад
They realized that all circles are similar in shape and thus the circumference must grow in proportion to the diameter. In other words, the circumference to diameter ratio is a constant. So after some careful measurements, they found pi to a reasonable accuracy.
@SaDa-jk7xq
@SaDa-jk7xq Год назад
រឯថង
@Luffy_wastaken
@Luffy_wastaken Год назад
@@SaDa-jk7xq I like your funny words magic man
@anonymoushippopotamus3862
@anonymoushippopotamus3862 Год назад
Thank you.
@duckyoutube6318
@duckyoutube6318 Год назад
Inaccurate is reasonable? And we wonder why we don't have a complete model of the universe. We can't even figure out circles but I guess everyone seems satisfied with being a little off. What does it matter if we are 10^-100 off?.... right? Or perhaps using the relationship between a straight line and a curved line is like comparing apples to oranges. There has to be a better way. A circle is completely enclosed. It's finite but pi is not. Our language of mathematics is fundamentally flawed. We need a new language that goes beyond calculus. One that is more truly accurate. And doesn't have ANY error.
@biancaalistar8440
@biancaalistar8440 10 месяцев назад
@@duckyoutube6318or maybe we just cant understand irrational numbers fully?
@user-mz1wm9bw9m
@user-mz1wm9bw9m 2 года назад
I truly underestimated a 1 minute video wow. This just made my understanding of mathematics so much clearer. Thank you
@jindobui26
@jindobui26 4 месяца назад
holy shiet 1 minute video worth more than 12 years of school 😭🙏
@evebutler2707
@evebutler2707 10 лет назад
This video is amazing. I used it to teach a class and they better understood the lesson after I showed this video. Thanks
@NovaStrike118
@NovaStrike118 5 лет назад
maybe they didn't understand you because of your english
@mktarcali1212
@mktarcali1212 4 года назад
English is not seince
@domgena
@domgena 3 года назад
Math sucks pick a better subject to teach!
@cat1800
@cat1800 3 года назад
@@domgena uh no actually math is the only important subject that exists in every country so duh 🤦‍♂️
@tanishkgovil5706
@tanishkgovil5706 3 года назад
@@NovaStrike118 there's nothing wrong with the sentence...
@furman87
@furman87 3 года назад
I was today years old when I finally understood what pi represents. Thanks!
@californigirl
@californigirl 8 месяцев назад
The crust is flakey, warm fruit or savory meat filling, and cherry is the best.... with creama. Best explaination of pie.
@klaxyrine979
@klaxyrine979 2 года назад
Great explanation. Another way to demonstrate this is to take a CD/DVD/ or any circular disc, cut a piece of string/wire (preferably a kind of string that cannot be stretched too much), that can be wrapped around the circumference of the disc with exact length, and cut another piece of string/wire that is equal to the diameter of the disc. Assume that the disc's diameter is equal to 1, and compare the lengths of the 2 strings. The circumference string should be PI times longer than that of the diameter string.
@davidjones-vx9ju
@davidjones-vx9ju 9 месяцев назад
that is stupid
@AshAfton-Cc
@AshAfton-Cc 2 месяца назад
Thank you Ima try that to get more clarity
@maximebeaudry1271
@maximebeaudry1271 11 лет назад
WAAAAAY easier to undurstand and WAAAAAY shorter than the Wikipedia explanation. Great job!
@vaibhavpatil2611
@vaibhavpatil2611 9 лет назад
so, pi is a natural number we didnt invented it we discovered it, right? correct me if i m wrong
@WakeRunSleep
@WakeRunSleep 9 лет назад
vaibhav patil discovered
@vaibhavpatil2611
@vaibhavpatil2611 8 лет назад
+JoePro Cast yeah i agree
@splashup8305
@splashup8305 8 лет назад
+vaibhav patil ..... PI was invented with a very big Circle to make the equation an everlasting oo infinity. There is an actual equation for PI. LOL
@NoConsequenc3
@NoConsequenc3 8 лет назад
+vaibhav patil We invented the method of mathematics that allows us to discover Pi
@sigurfeanaro3356
@sigurfeanaro3356 6 лет назад
Mathematics is a human invention, and it is not absolute knowledge: there is no such a thing as existing formal concepts of mathematics as phenomena, such as the sun, a dog, a human or an ant. Concepts do not exist, they just subsist in their thinking ontological frame of principles and intuition.
@petersipp5247
@petersipp5247 2 месяца назад
In my career of pipe welding/fitting...I put to memory...Pi X Diameter = Circumference. Use this for making laterals. Like a 12" on a 12"branch. I like the "long" method. Making a template out of .025" paper board. (like the paperboard cereal boxes are made from). I make the branch...Using Pi X Diameter to get the "stretch out" of the pipe (for the branch). There are several steps after this. Don't feel like writing them all out. Tape up the stretched out part so it is round, then mark the hole where the branch will go. Cut out the hole for the branch, grind it, then tack up the branch in place. Last, weld it out so there are no leaks.
@K41E8
@K41E8 2 дня назад
thank you so much for this very simple explination. i've learnt pre algebra, geometry, trigonometry, and i even memorized the unit circle in a day, heck, i even memorized 50 digits of pi! yet i never trully understood WHY is pi, until now, thank you so much
@sarahjacob2008
@sarahjacob2008 13 лет назад
Clear and precise. I think once I have got my daughter to physically do this, she will never have a problem working out the other formula to do with a circle.
@Unfamous_Buddha
@Unfamous_Buddha 8 месяцев назад
But why can't it be exact instead of just 3.14, but 3.14159 . . . . ad infinitum? Because we're comparing a straight line (diameter) to a curved surface?
@posadist681
@posadist681 3 месяца назад
@@Unfamous_Buddha Yes its strange to me that the numbers go on forever. Why is pi irrational? Is the circumference irrational too?
@xxuncexx
@xxuncexx 6 лет назад
You explained what pi is but what I'm curious is how it is calculated. If I didn't know what pi was and I had a circle with a known diameter, how would I figure out the ratio between that and the circumference?
@frede1905
@frede1905 6 лет назад
xxuncexx Archimedes made a brilliant way of calculating pi. He didn't measure it at all, he calculated it, and you can use his method to get as many decimals as you want. I think that it was genius, make sure you take a look at it! 😊
@paulg687
@paulg687 5 лет назад
Yes he did. You can imply a calculation from the explanation. Circumference = Pi . Diameter (there in his example D =1) Therefore: Pi = Circumference / Diameter You can also calculate PI if you measure the are of the circle. Area = Pi . Radius^2 Pi = Area / Radius is ^2 Also, if you differentiate the A = Pi.R^2 formula, you get 2.Pi.R ... where 2R = D which is the circumference. Also, if you integrate the c = Pi.D formula (2.Pi.R) , you get 2.Pi.R ^2 / 2 or Pi.R^2, which is the area.
@cavycorp9136
@cavycorp9136 3 года назад
@@paulg687 I think ops point is that in the case of Pi = Circumference / Diameter or Pi = Area / Radius is ^2 both circumference and area are difficult to find without the use of Pi in the first place. If you don't know either Pi, the area of a given circle, or the Circumference of a given circle flipping these equations around doesn't help.
@paulg687
@paulg687 3 года назад
@@cavycorp9136 if you measure the circumference and the diameter and find their ratio you’ll get a number. Try this for ANY circle, this will be the same. It’s therefore a constant. More importantly though , it’s a natural number for the circle since it can be done for all circles. That’s all there is to it. You can then deduce a formula which includes this constant. Btw, you shouldn’t get hung up about the Greek symbol itself. Just use 3.14 if it looks strange to use. PI, or any Greek letters, are used like this to represent a long number. Easier to write. So you wrote pi instead of 3.141592657…. It’s also the same deal with the ‘e’ in continuous compounding. People shy off when they see it. That too is just a number of 2.7183. This one is the natural number for continuous compounding. You can use the number instead of ‘e’.
@letslearn6352
@letslearn6352 Год назад
If you know basics of trignometry, you can study finding of pie from archimedes method, if you know binomial expansion and calculus, you can study method of newton.Till now, several ways of finding pie are devised
@Let_us_Goo_with_Tech
@Let_us_Goo_with_Tech 7 месяцев назад
PI IS IRRATIONAL THEN HOW CAN THIS BE IN THE FORM P/Q
@martinaspared5648
@martinaspared5648 7 лет назад
i'm obsessed for an answer that you've just provided.
@mcdouche2
@mcdouche2 9 месяцев назад
I thought this was going to be a heavy history into the mathematics of the ancient Greeks and other awesome stuff I didn’t know. This is the exact thing I told my kids 2 years ago.
@ActiveStorage
@ActiveStorage 11 лет назад
i think some old-school Greek philosopher just took a wooden wheel and wrapped a thread around it. then he just alined the thread with the diameter of the wheel and tried his best to sub-divide and sub-divide the thread as much as possible to get an accurate Pi ratio. After someone did such experiment it boiled down to getting a better wheel and thinner and thinner thread and making more and more equidistant sub-divisions on the wheel's diameter and on the thread it-self to get a better result
@Zinimust
@Zinimust 7 месяцев назад
Stop with that nonsense. Who are these Greeks? Read unbiased ancient history There were no Greeks.
@christinegerard4974
@christinegerard4974 8 месяцев назад
Thank you ! So clear ! Very interesting and …mysterious..
@12chachachannel
@12chachachannel 9 месяцев назад
0:00 actually an amazing explanation! 0:02
@spypruduktion
@spypruduktion 9 лет назад
Calculating an irrational number as a fraction (pro tip: just dont)
@pratijitpodder4345
@pratijitpodder4345 6 лет назад
Yeah, irrational numbers are simply not meant to be converted into fractions because they cannot be.
@ffggddss
@ffggddss 5 лет назад
@@pratijitpodder4345 But they can be approximated to any degree of precision by a fraction (i.e., rational number). Fred
@maximosh
@maximosh 9 месяцев назад
My old Amiga has code to draw circles in pixels only requires 3.1 or 3.14 ,as the algorithm draws circles in quarters, so three quarters of the circle were extrapolated from the quarter circle calculation. The other three quarters are plotted by flipping the coordinate values.
@GG-rm6hd
@GG-rm6hd 9 месяцев назад
Amiga never gets old! 🙂
@garys.8333
@garys.8333 8 месяцев назад
Does that mean you can’t accurately measure the circumference of a circle since Pi is a repeating fraction?
@lynnrathbun
@lynnrathbun 6 месяцев назад
it is irrational not repeating. And, in reality, you can't measure ANYTHING with zero uncertainty.
@molopes7386
@molopes7386 6 лет назад
Thanks! I would’ve died as an engineer without knowing this!
@hacky97
@hacky97 13 лет назад
this is not a way to calculate pi, it's a way to proof that pi is a constant number. I think that the way to calculate pi is to divide a circle into small lines (who's points are acalculated with sinuses and cosinuses) and add the length of all these little lines together. the precision of pi depends on the number of lines you divide the circle into.
@noel.friedrich
@noel.friedrich 9 месяцев назад
I know that this comment is 12yo, but actually, this video doesn't prove that this is constant, it just provides visual intuition what pi is in relation to diameter. Calculating the numerical value of pi can be done through many (infinite!) ways, and most of them are using very complicated power series that don't make much sense intuitively!
@Moodboard39
@Moodboard39 8 месяцев назад
Proof it dumbo
@spirostravlos3801
@spirostravlos3801 8 месяцев назад
Well done.
@miguelveliz97
@miguelveliz97 3 месяца назад
I feel pi is the constant increase in separation of a circle when it’s offset so the lines don’t meet so it’s a spiral starting at a center point. Because it’s three portions of different size triangles to needed to measure the increase in separation of the spiral from one line to the next.
@miguelveliz97
@miguelveliz97 3 месяца назад
Also I believe pi is means to signify forward progression in the the development of our subconscious which in turn molds our personality, our heart, so we eventually use the parts of our brain that are trigger by impulse , emotion and intellectual thought so in time through repetition become a single intellectual engrained heartfelt response , 3 to 1. Pi in nature is good luck. I feel it’s God reminding to stay righteous and upright no matter the size of the storm. God is always there present whether you believe or not. God is life and the interactions of life and love is the appreciation of life and the interactions of life. God is the epitome of good. God is an all encompassing spirit and not a sinner.
@abhinavsinghtawar9157
@abhinavsinghtawar9157 4 года назад
thats all we know but where does this relation come from. we cannot accurately measure the circumference or the diameter upto 100s of decimal places but we know the value of pi upto n decimal places
@linux_b1969
@linux_b1969 9 месяцев назад
why was i expecting something totally out of the ordinary
@raccoonmellows1243
@raccoonmellows1243 6 месяцев назад
Thanks a lot dude! Trust me, this teaches me more than school. *π* is really interesting when you learn more of its purpose.
@user-bz7fj1fk2m
@user-bz7fj1fk2m 2 года назад
I wish I thought high school by you. STAY BLESSED!!!!
@TheIrishBosnian
@TheIrishBosnian 10 месяцев назад
That was a piece of pi. Cheers, man.
@missionccie7868
@missionccie7868 3 года назад
Thank a ton sir 🙏🏻 Your so short video has cleared me all doubts I have watched 8 videos but couldn’t solute what pie is actually Thanks god bless you 🙏🏻
@user-jc3pz7xm8y
@user-jc3pz7xm8y 8 месяцев назад
Archimedes calculated pi long time ago as 3.14 & maybe infinity , and he was a smart cookie . We can appreciate much from ancient Greek culture . Wonder which genius stumbled on the wheel & said Eureka. And I wonder if pi is sort of like the undefined big 0 since it 's division is infinite ?? Or is it ?
@Moodboard39
@Moodboard39 8 месяцев назад
Chinese man also Lui
@user-xd6ve7ve7u
@user-xd6ve7ve7u 2 месяца назад
Why does it turn out to be pi every time you divide circumference by diameter?
@vinitverb
@vinitverb 2 месяца назад
But if we physically cannot make a perfect Circle how do we measure the circumference??
@vVearon
@vVearon Год назад
thanks, i’m learning what pi is at school tomorrow, now people with think i’m super smart
@kbabhimitra
@kbabhimitra Год назад
why are they of unequal parts. like if the diameter is 1 cm then circumference is 3 + 0.1 + 0.04 + 0.001... cm we are adding small quantities of length upto infinitly and still it is a finite length? is the circumference of a circle non existent in reality? even if so why are the next smaller parts unequally divided rather than equally divided or why there is no pattern of decreasing order rather it is random in decreasing order of length. what is this? please explain.
@Moodboard39
@Moodboard39 8 месяцев назад
I'm sorry, but there seems to be a misunderstanding in your question. A circle does not have a finite number associated with it in the same way that a numerical value or quantity is associated with a finite number. A circle is a geometric shape defined by a set of points equidistant from a fixed point called the center. It is a two-dimensional object with no edges or corners. The properties of a circle, such as its circumference, area, radius, and diameter, can be expressed as numerical values, but the circle itself is not inherently associated with a finite number. For example, the circumference and area of a circle can be calculated using numerical formulas, but the circle itself is not a numerical value. Its properties depend on the measurements (such as radius or diameter) assigned to it.
@realhuman5895
@realhuman5895 5 месяцев назад
Wow how perfectly you cleared something that is been haunting me for 20 years...
@GhostSenseiProductions
@GhostSenseiProductions 8 месяцев назад
wow this made me realize, what if pi represents the number of dimensions that exist? we happen to know 3 but what if the fourth is not really a fourth, a whole number… but yet just dimension 0.141? and because it’s not complete we can not understand it as a whole…
@Smartguy323
@Smartguy323 13 лет назад
I can also get pie by driving to Marie Calendars lol All jokes aside, it was the easiest explanation for pi. I plan to use this video with my future students =)
@d.w.dingman9335
@d.w.dingman9335 8 месяцев назад
Since the value of pi has so far proven to be “infinite” and the circumference of a circle is finite, how can the discrepancy be explained?
@MuzixMaker
@MuzixMaker 8 месяцев назад
Holy crap, I was just about to make the same comment! You can take a string of arbitrary , finite length and form a 2D circle with it.
@Moodboard39
@Moodboard39 8 месяцев назад
Where u get it the circumference is finite???
@luciecejpkova4815
@luciecejpkova4815 8 месяцев назад
okey but how is it possible that we don't know the exact number? or like how come it's so long...like how do we measure/calculate all those numbers??
@neheltyyeb864
@neheltyyeb864 6 месяцев назад
I didn't understand... how did they get the top no by measuring the circumference of the circle.
@alfredhitchcock45
@alfredhitchcock45 8 месяцев назад
Finally the clearest example of them all
@hauribest
@hauribest 12 лет назад
@mathematicsonline It will never be larger than 3.1416 because the number is actually 3.14159 and so on
@DHST-si2xr
@DHST-si2xr 4 месяца назад
But how did they find the formula of a circumference without pi (2piR)
@StefanoTempesta
@StefanoTempesta 8 месяцев назад
How do you explain the irrational nature of pi, though? In the video, you straighten the circumference into a line. I'd expect it to be a fixed length.
@tareqyounis8479
@tareqyounis8479 2 года назад
This is not the best explanation of pi, simply a consequence of pi being the ratio of the circumference to the diameter. The best way to describe it is as a constant of proportionality. It's the linear relationship between a circles circumference and its diameter. Increase the diameter by 1, and the circumference increases by 3.14159. This video is dedicated mostly to the consequence of that on the unit circle.
@voidphoenix9024
@voidphoenix9024 Год назад
But how can a length be irrational like here a circle with 1 unit diameter is said to have a circumfrence of pi which is irrational. Also pi can be written in the form of p/q where q not= 0, Then pi must be rational. I dont understand the idea of lengths being irrational.
@davidbowman2035
@davidbowman2035 Год назад
A circle is a polygon with an infinite number of sides. I think that is where the answer lies.
@YouTube_username_not_found
@YouTube_username_not_found 9 месяцев назад
@voidphoenix9024 Not every number of the form p/q is rational. p and q are supposed to be integers (we can have q to be only a positive integer since we can obtain negative sign from p)
@mathematicsonline
@mathematicsonline 12 лет назад
@NickMinaj69 Yes there is an infinite number of digits in pi, but that doesn't mean the value of pi increases every time you add a digit. Pi will never be larger than 3.1416 no matter how many digits you calculate the accuracy of pi.
@yarden2121212
@yarden2121212 2 года назад
But how do you calculate the circumference without pi? Because for example you said the diameter is 8 and then you said from nowhere that the circumference is 25.13274123... And then the ratio gave pi, but how did you know that the circumference was 25.13274123...?
@Andy_Babb
@Andy_Babb 2 года назад
Thank you for the simplest explanation yet! This always confused the crap outa me in school
@aaronblackartt
@aaronblackartt 2 года назад
Wonderful illustration! thank you!
@IceMetalPunk
@IceMetalPunk 12 лет назад
Each digit is an order 1/10 the size of the previous digit. Since pi is irrational, there are an infinite number of digits. This means that, since each digit is 1/10 the size of the one before it, the series of digits actually approaches 0 in value. Once you start adding 0, the value doesn't change, so pi is finite. It's called a "convergent infinite series" if you want to look up more about it.
@SimonFrack
@SimonFrack 9 месяцев назад
Aren’t you just saying that if you sum it the value of each digit in pi it tends towards a total of… pi? 🤔
@armada2390
@armada2390 4 года назад
My mind started with "why a circle?"
@PlutoNeptuneUranusSaturn
@PlutoNeptuneUranusSaturn 3 месяца назад
why not
@starzandearth
@starzandearth 6 лет назад
So if I made a circle with diameter 1 foot right, would the circumference be pi? But isn't it finite?
@drsteele4749
@drsteele4749 8 месяцев назад
Pie is the ratio of pre-divorce wealth to post-divorce wealth (adjusted for legal fees, of course) minus hangover.
@adamekennedy
@adamekennedy Год назад
I liked this. I subscribed. This is an accurate description of pi. Thank you.
@stuartstuart321
@stuartstuart321 Год назад
How do you precisely measure the circumference!? As it stand it can't be done.
@Moodboard39
@Moodboard39 8 месяцев назад
I'm sorry, but there seems to be a misunderstanding in your question. A circle does not have a finite number associated with it in the same way that a numerical value or quantity is associated with a finite number. A circle is a geometric shape defined by a set of points equidistant from a fixed point called the center. It is a two-dimensional object with no edges or corners. The properties of a circle, such as its circumference, area, radius, and diameter, can be expressed as numerical values, but the circle itself is not inherently associated with a finite number. For example, the circumference and area of a circle can be calculated using numerical formulas, but the circle itself is not a numerical value. Its properties depend on the measurements (such as radius or diameter) assigned to it.
@phobos4521
@phobos4521 3 года назад
For wise people like you I have choosen to live 🙏❤️ thank you very much
@deepikasharma5683
@deepikasharma5683 2 года назад
Explanained in simple language. Thanks
@mrvlhs
@mrvlhs 11 лет назад
Thanks. I study engineering so my doubts are beyond that. I know you can approximate the area of the circle by any regular poligon (one on the inside and one on the outside), weight the average and of course as the number of edges tends to infinity the area will tend to the true area of the circle. But my question, really, is something completely different. What was the big use of pi back in the days and why are people today still calculating millions of digits of it? What's the use?
@frankwewers5819
@frankwewers5819 9 месяцев назад
We concern us with pie to understand how to calculate things like a dam for water, etc. That you may know. The goal to achieve accuracy for pie, in my opinion, has more to do with achieving mathematical prove and certainty and to find completeness. Any other possibility must either be prove as complete, or dismiss as not satisfying such prove, or exclude any other prove that may or may not have relevance to the completeness of what needs to be proven. For every digit added to pie, our desire to achieve completeness by prove is satisfied and our suspicion that the prove for completeness does indeed exist is solidify for the benefit of future generations. Mathematicians needs prove, so does Scientists and Biologists for their respective field of study. Unknowns must either be prove or disprove. Careful elimination is needed, and mistakes can have disastrous consequences. Why does a gap exist when a diameter is fitted around the circumference, leaving us with 3.14...(excluding other possibilities) The circumference is complete, but the diameter causes a calculated shortcoming. Should it be like this or shouldn't it? No matter what logical explanation is giving, it appears from prove that the gap is infinite, and that the prove that the gap can be complete is elusive in its make up, hence the prove for the next digit(s)Until then, the next digits will remain like this, dot,dot, dot....
@Moodboard39
@Moodboard39 8 месяцев назад
​@frankwewers58dot dot19
@graceellison118
@graceellison118 Месяц назад
“In school we learned that pi equals the circumference over the diameter.” Wow, maybe public school really DID make my mathematics education suffer.
@digitalnomad2196
@digitalnomad2196 2 года назад
initially how did we measure the circumference without knowing what PI is ?
@Moodboard39
@Moodboard39 8 месяцев назад
Just knowing lol 😅 how u know right and wrong ??
@GGBee
@GGBee 12 лет назад
Really didn't understand it in my math books. Thank god there's RU-vid..
@RUNELCO4712
@RUNELCO4712 6 месяцев назад
In the video it looked like he added the diameter which was 1 to the circumference to get pi, but your supposed to divide it.
@exploreworld8145
@exploreworld8145 8 месяцев назад
value of pi is not a fix value it is 3.141592....., nd 3.1415 > 3.141 that means we can never calculate the exact length of circumference what ever we measure it's going to be less even if it's is in a very minute scale even billionth time smaller than radius of electron .
@andreww2319
@andreww2319 8 месяцев назад
A circle must have a diameter to exist. For each perfect circle to be perfect the diameter of that circle must be constant. So the diameter defines and dictates the circumference. Thus we know C if we know D. In this sense D creates C and we call their ratio Pi.
@Babagowe
@Babagowe 9 месяцев назад
This music was pretty scary, but it helped a lot
@user-ur9yq6ik1h
@user-ur9yq6ik1h 9 месяцев назад
Did not know some people need an explanation
@princessginez3420
@princessginez3420 4 года назад
I was bit confuse and sorry for that, if 3.14... is the circumference of a circle then what its diameter? Is it 1?
@bubzyz
@bubzyz 12 лет назад
You get the constant pi because the circumference is pi times the diameter, so dividing the circumference by the diameter is doing nothing but undoing the math to figure out the circumference.
@SinaA41
@SinaA41 12 лет назад
@NickMinaj69 Say achilles is having a race with a snail, but because the snails slower its given 1m head start. They both start at the same time. By the time achilles has ran 1m the snail has moved a little bit further from where achilles now is. By the time achilles gets to where the snail was whilst achilles was at 1m, the snail has moved a little bit further. And again, by the time achilles gets to where the snail was then, the snail moves a little further. Does that mean achilles cant win?
@Sadborker
@Sadborker 11 лет назад
I have also a question , to calculate Pi we need the Circumference and Diameter Of our Cercle ... then Pi = Circumference / Diameter , my question is : How to Calculate the Circumference without using PI ?
@RavenMobile
@RavenMobile 9 месяцев назад
I assume it would have originally been derived by physically measuring circular objects, such as putting thread around a wheel.
@khanrehman
@khanrehman 13 лет назад
excellent work to promote mathematics. hope we get more in future. Abdul Rehman Khan
@fuskygames
@fuskygames 5 лет назад
and how do you go so precise in it? nothing can measure the circumference of a circle that precise without and actual formula, and no one has ever talked about such formula, if given a circumference of exactly 8cm you don't know the exact diameter, and to get more numbers past period of pi, you need more numbers past period of the diameter.. but since no one talks of any way to now the next number of the diameter.. how on earth do you keep 'calculatin' pi with these supercomputers? for an extra number past period for pi, you need the same for the diameter or circumference and vice versa, without knowing either one of them you're nowhere
@fuskygames
@fuskygames 5 лет назад
let's say I'm not at all a math professor of any kind, I'm just using common sense and logic thinking
@icarokaue7334
@icarokaue7334 3 года назад
Supercomputers use formulas that don't require a circuference or diameter.
@NickMinaj69
@NickMinaj69 12 лет назад
E (1/10)^n. Hmm. The geometric series wow haha. You're the only person who actually explained it correctly to me. I completely understand now. 5 months of mystery solved xD!
@jakemccoy
@jakemccoy 9 месяцев назад
1:01 Is Pi also the constant for circles that don’t exist?
@theboombody
@theboombody 6 месяцев назад
Pi is only guaranteed to be constant in flat 2-D space. If you have a 2-D space that's not flat, pi may take on different values. Possibly even exactly 3.
@vieiradan
@vieiradan Год назад
Nice! Now I got to understand it better! Thanks for sharing!
@o.t2001
@o.t2001 9 месяцев назад
How can you do sums of like 5x(pi) if we don't even know its exact value
@MuzixMaker
@MuzixMaker 8 месяцев назад
Rounding. It’s an approximation.
@o.t2001
@o.t2001 8 месяцев назад
@@MuzixMaker fair enough, maths is so flawed though, can't even make divide 10 or 100 or 1000 by 3 properly
@Panacea9
@Panacea9 6 дней назад
I don't know. What is Panacea I? Towers? Circles will always be a joke without towers. The person supposedly doing it and creating it was hit and Canada beaten to a pulp. You might be able to see some of him in it, but it is a vague and under inspiring when contrasting with the actual reason for its accidental creation.
@MrVibriocholerae
@MrVibriocholerae 12 лет назад
3+10/70>π>3+10/71, proved by Αρχιμήδης!
@lavernorgista6911
@lavernorgista6911 Год назад
i learned about it tkank you may god bless you
@lavernorgista6911
@lavernorgista6911 Год назад
thanks
@posadist681
@posadist681 3 месяца назад
Glad it helped you
@misterno-ice-guy8082
@misterno-ice-guy8082 9 месяцев назад
Are teachers using diameters for circumference now? We were taught to use the radius squared. (before you say "that IS the diameter", remember the formula for a sphere deals with the radius cubed, and no one wants to have to remember different variables for similar formulas... or have to do extra math (i e: the diameter divided by two, in parenthesis, cubed)).
@lawliman15
@lawliman15 12 лет назад
by what has said, is that pi is negative ... to 3.1416 and not 1415. not be larger than 1416 means it can be 1416 but pi is 141592653....... the value will be higher if you add numbers to the early numbers. for example 3.141592 + 0.001 = 3.141692
@mother722
@mother722 Год назад
yeah but how do you apply this
@hyugaofc
@hyugaofc 10 месяцев назад
Basically its a ratio between the Circumference of a circle and its Diameter.
@Furgic
@Furgic 6 месяцев назад
So its basically 3,141592654?
@samuelsaliu6767
@samuelsaliu6767 4 года назад
This video was very helpful. Thanks.
@sarvajagannadhareddy1238
@sarvajagannadhareddy1238 5 месяцев назад
HOW TO FIND THE EXACT EXACT EXACT CIRCUMFERENCE OF CIRCLE . Procedure Step 1. Draw a square, 2 diagonals and inscribe a circle in the square. Thereby side and diameter will be the same Step 2 : Subtract 2 diagonals from the perimeter of square Step3. Divide step2 with 8 Step4. Add 3 times of the side. to Step 3 At the end we get the EXACT circumference of the inscribed circle
@kbabhimitra
@kbabhimitra Год назад
well I did a small experiment. I took a wire of length 78 CM. and made a circle with it and the diameter came to be 26 CM. the ratio is 3
@brpawankumariyengar4227
@brpawankumariyengar4227 22 дня назад
Great video … awesome ❤
@lil_villian5124
@lil_villian5124 9 месяцев назад
Oh so π is ACTUALLY SOMETHING that has to do with the circles and isn't some random number someone pulled out of their ass. Honestly I'm disappointed I didn't know this sooner. I'm 21 btw. Thank you.
@Moodboard39
@Moodboard39 8 месяцев назад
Idk what your age have to do with anything
@ActiveStorage
@ActiveStorage 11 лет назад
yes (quote) Pi was discovered by the Greeks by a process called exhaustion. They observed that any polygon could be divided into triangles whose areas could be combined to get the area of the shape, so they tried the same thing with circles. They then factored in the radius of the circle, and they found pi. These triangles can theoretically get infinitely smaller, which is why pi is an irrational number.(unquote)
@khangsfanshelpdesk4773
@khangsfanshelpdesk4773 4 года назад
Best of all
@hapexamendar1093
@hapexamendar1093 9 месяцев назад
Why didn’t they just make the circle a little bit smaller so pie could equal three Exactly? 😂🎉
@shadowcat8430
@shadowcat8430 4 года назад
Whats rating and subsribing?
@SKF358
@SKF358 Год назад
Someone introduced a circle into explaining calculus and introduced pi as if that's an established fact. But I then watched this video and for the first time today I understood something.
@hvnterblack
@hvnterblack 9 месяцев назад
quick and simple
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