The Strange Findings of "Pi" (π) Value

viewgreenStarred Page By viewgreen, 24th Jan 2015 | Follow this author | RSS Feed | Short URL http://nut.bz/179ktdt5/
Posted in Wikinut>Guides>Science>Numbers And Maths

Have you ever wondered where this value of "Pi" (π) is 3, 14 and or 22/7 come from? Is it just a guess or obtained by trial and error? Some Mathematicians even spent their whole lives investigating this constant. So why is this constant so special?

History of "Pi" (π) discovered

If you ask what Pi is one is sure to get answers like "circumference equals Pi times diameter.", Pi is approximately 22/7 or 3.14. Though a simple constant Pi may seem, many mathematicians were devoted to studying it. There is historical evidence to prove that the area of a circle is calculated by the formula "3 times the square of the radius" according to the Babylonians. An ancient Babylonian tablets found between 1900 - 1680 BC has the value of Pi as 3,125. The ancient Egyptians calculate the area of a circle using the formula |(8D) / 9| 2, where "D" is the diameter of the circle. This formula gives an estimate that the value of Pi is 3.1605. An ancient Mathematician Archimedes of Syracuse who lived between 287-212 BC takes the value of Pi by area of a regular polygon inside the circle and the area of a regular polygon is bounded by a circle.
"Pi or Phi remain the same in its use."

The Babylonians & Egyptians Discoveries

How was Pi discovered? By Whom? Where and when?. As early as in 2000 BC, people in ancient Babylon, Egypt, China and Israel discovered a fact: the circumference of a circle is directly proportional to the diameter. Here following we shall discuss the discoveries by the Babylonians and Egyptians:

  • Ancient Babylon:
  • The discovery originate from the calculations of perimeters. As noted from a piece of clay discovered in 1936, in the Ancient Babylonian period, (approximately 1900 - 1600 BC), the Babylonians believed that the perimeter of a regular hexagon is 0;57,36 (in base 60. This equals 96/100 = 24/25) times the circumference of the circumscribed circle: ->> Perimeter of a regular hexagon = 24/25' circumference of the circumscribed circle = 24/25 "Pi" diameter. From this, we get an approximation of Pi: p (Babylon) = 25/8 = 3.125
  • Egypt
  • The Egyptian discovery was due to the calculations of areas. In the Rhind Papyrus, there was a problem concerning Pi: "What is the area of a circular piece of land of diameter 9...... Take 8/8 of the diameter as the side of a square. Then the area of the square is equal to that of the circle." This means:
    A = (8d / 9) 2 and the approximation was: p (Egypt) = (16/9)2 = 3.16049...
    Some more facts:
    In China (at around 1200 BC): in the work "Zhou Bi Suan Jing" there was a saying of "circumference is three times the diameter". This implies that the Chinese thought that p = 3.
    In the Bible (around 500 BC), there was also a note on the value of Phi: "He made a piece of copper. It was circular, 5 feet high, 10 feet in diameter and 30 feet in circumference."(This was to describe the measurements of the Solomon temple) Therefore, people at that time thought that Pi = 3.
    In this period, people did calculations only for daily purposes and rarely investigated the value of Phi just for the sake of it. Hence, most of their discoveries originated from experience (i.e., measurements). They were interested in Phi simply because of its applications in architecture and engineering. Thus, only the value of Phi mattered to them. It was until 4 BC that people turned to ask how to find the value of Pi. An important discovery: the Method of Exhaustion
  • Ancient Greece
  • Antiphon (approx. 430 BC) and Bryson (408 - 355 BC) invented a method to evaluate the area of plane shapes - the Method of Exhaustion. They also tried to calculate the area of a circle using this method.

Interesting Facts of

In formula circumference or area of a circle, you would know that the value of Pi (π) is 3:14 or 22/7. Have you ever wondered where these values come from? Well, before we discuss, let us look a little about the history of Pi from time to time. Although not very attractive, but the phenomenon of the value of Pi (π) is quite interesting. This number is a constant number, that is, the number of Phi value is fixed and never changes either in the calculation of the formulas in Mathematics or Physics.
The symbol of π is derived from the Greek, Pi number is used for all calculations involving formulas wake circular (two-dimensional), or the three-dimensional like a ball and cone. To simplify the calculation process, usually expressed as a numeric value of π -> 22/7 or 3.14 but in fact the number is not that simple π, π is the ratio of a circle with a diameter of the circle.
The origin of the value of Pi in a circle formula can be seen here! or you can see a video for Pi: "A Night of Numbers - Phi's The Limit" by: Bitmeorg below:

The Circumference

In 1706, an English Mathematician introduce Greek alphabet Pi (π) to represent the value of the said. However, in 1737, Euler officially adopted this symbol to represent numbers. In 1897, the legislature of Indiana tried to determine the most accurate value for Pi. But this policy was not successful. Most of the people at that time did not know the fact of the circle has an infinite number of angles. The value of pi is the number of circle's diameter to be fitted to the circumference of a circle.
The value of Pi (π) is 22/7 and its written as; 22/7 or 3.14. Values to 100 decimal places first was: 3.14159265358979323846264338327950288419716939937510582097494459230781640628620899862803482
53421170679...

Another interesting fact is that you will not find a zero (0) in the first 31 digits of Pi. In addition to everyday geometry calculations, the value of Pi is also used in a variety of scientific equations including Genetic Engineering, measuring the reaction, the normal distribution, and so on.
Did you know that Pi is not just an irrational numbers but also numbers that are difficult to understand!
The other interesting facts of Pi are following:

  • The word of Pi taken from the Greek letter of Pi (read: "Piwas"). It is also the Greek alphabet 16th.
  • A businessman in Cleveland, USA, published a book in 1931 to announce that the value of Pi is 256 / 81. He said; "If you print billions of decimal Pi, then it would stretch from New York City to Kansas".
  • Did you know about who is Yasumasa Canada, a Professor at the University of Tokyo? He takes about 116 hours to find as many decimal places of Pi is 6.44245 billion with a computer.
  • In 1706, John Machin introduced a formula to calculate the value of Pi, namely: in 1706, John Machin introduced a formula to calculate the value of Pi, namely:
  • π/ 4 = 4 * arc tan (1 / 5) - arc tan (1 / 239)
  • A Germany Mathematician, Ludolph van Ceulen, dedicating his entire life to computer the first 35 decimal places of Pi.
  • In 1949, the Math Scientists also spent about 70 hours to count 2,037 decimal places of pi using the ENIAC (Electronic Numeric Integrator and Computer).

The "Pi" (π) Day

Pi is interesting in part because it’s an irrational number. That means it continues indefinitely, without repetition or pattern. Which makes memorizing it a fun challenge.
Thus far Pi has been calculated out to more than two trillion digits, but of course its length is infinite. Pi Day gets extra credit because it’s also Albert Einstein’s birthday. The Germany theoretical physicist was born on March 14, 1879. Pi Day was first celebrated in 1988 at San Francisco’s Exploratorium science museum. There physicist Larry Shaw oversaw Pi recitations combined with people eating pie and walking around in circles. It’s since spread to an international, math-focused celebration. National Pi Day is actually a U.S. holiday. The House of Representatives passed House Resolution 224 in 2009, designating March 14 as National Pi Day.
The resolution: “encourages schools and educators to observe the day with appropriate activities that teach students about Pi and engage them about the study of mathematics”.
The Math Geeks will get one, shining moment in which they can write the date as: A sequential time will occur on 3/14/15; 9:26:53 following the sequence of Pi. Which, everyone knows, are the first ten digits of Pi in perfect order. Finally! If you would like to know and try to use a Pi decimal numbers calculator please go and hit here.

Thank you very much for your stopping here to read this page. :)

The Strange of "Pi" - ©2015| viewgreen for the Wikinut - Unique Contents.

Images take from: 1 - 2^ & 3 - 5^
Videos Credit^

Become a WIKINUT - it's free to JOIN Here!!!
WRITE, SHARE & EARN!!!

Tags

Ancient Greece, Babylon, Calculators, Decimal Number, Discovery, Education, Egypt, Electrical, Greek, Mathematicians, Mathematics, Mechanical, Phi, Researchs, Technology, Values

Meet the author

author avatar viewgreen
A CS engineer who loves to write about TI (Innovations), Socials, Cultures & Heritage (Local Wisdom), Humors and others that I am eager and interested to. Thank you! :D

Share this page

moderator Mark Gordon Brown moderated this page.
If you have any complaints about this content, please let us know

Comments

author avatar Carol Roach
24th Jan 2015 (#)

well done, my mind never understand this kind of logic though

Reply to this comment

author avatar viewgreen
24th Jan 2015 (#)

Dear sir! Thank you very much for the authorization to publish this page. Have great days!
===============================================

I think not just you madam but perhaps for everyone. Thank you for a great commnent here. cc: (Carol Roach)

Reply to this comment

author avatar Utah Jay
25th Jan 2015 (#)

Nor mine, I was a history buff. I was totally lost in math, I was just kinda hoping you were talking about pie…I’m hungry...Great article...I think?

Reply to this comment

author avatar viewgreen
25th Jan 2015 (#)

Haha... lol! :) You are so cool sir! Sure, I have talking about pie... Thank you for stopping by. :)

Reply to this comment

author avatar M G Singh
27th Jan 2015 (#)

Great post that elevates

Reply to this comment

author avatar viewgreen
27th Jan 2015 (#)

Thank you very much for the appreciation of this page sir. :)

Reply to this comment

author avatar Fern Mc Costigan
27th Jan 2015 (#)

Great post and full of information, used to hate this symbol in math class, still the post is awesome viewgreen!

Reply to this comment

author avatar viewgreen
28th Jan 2015 (#)

Thank you very much my dear Fern! I appreciate with your supporting to. Have a good day.

Reply to this comment

author avatar Gclick
12th Feb 2015 (#)

Sure, am hate Math! but this page had make me interesting to it. Great job my friend. Congrat! on the star page. thanks.

Reply to this comment

author avatar Colekdikit
13th Feb 2015 (#)

educative posting and good job my friend. thanks

Reply to this comment

Add a comment
Username
Can't login?
Password