The document discusses the mathematical constant pi (π), its historical significance, and its approximation as an irrational number. It provides a brief history of pi from its early calculations by the Babylonians and Egyptians to modern-day computations, highlighting key mathematicians and their contributions. The document also explains common formulas for calculating pi and celebrates Pi Day on March 14, emphasizing its cultural relevance.

1. The symbol of Pi π
The symbol of pi is like Alpha
oe omega it is the
lowercase16 letter of greek
alphabet. Is capital is Π and
lowercase is π.
It is also known pi. in america
they called it “pie”.
In 1706 first symbol of is used
by William Jones.

2. What is PI?
Pi is an irrational number, which means that it is a
real number with nonrepeating decimal expansion.
It cannot be represented by an integer ratio and
goes on forever.1768 Johann Lambert proved that
there cannot be any such repeating pattern.

3. Value of PI
When starting off in math, students are introduced
to pi as a value of 3.14 or 3.14159. Though it is an
irrational number, some use rational expressions
to estimate pi, like 22/7 of 333/106. These rational
expressions are only accurate to a couple of
decimal places, however.

4. History of PI
Pi is a very old number. Known first pi used in
about 4000 years ago by ancient Babylonians and
Egyptians.

5. Ancient Babylonians discovered somewhere
between 1900-1680 B.C. they use pi=3.125 . but
its not as much as accurate value which we use
today.

6. The ancient Egyptians were making similar
discoveries in1650 B.C. they used pi= 3.1605 .
which is not as much as acurate we use today.

7. The first calculation of
pi was carried out by
worlds greatest
mathematician
Archimedes in 287-
212 B.C. He is used
Pythagorean theorem
for calculating pi. He
defined the value of pi
is between
223/7<π<22/7.

8. After Archimedes many
mathematicians wants to
calculate the accurate value of
pi but not all are accurate
lets see some mathematicians
who valued accurate and how
many decimal places...

9. Year name decimal
1400 Madhava of
Sangamagrama
10
1615 Ludolph van Ceulen 32
1665 Isaac Newton 16
1699 Abraham Sharp 71
1719 Thomas Fantet de Lagny 112
1841 William Rutherford 152
1946 D. F. Ferguson (using a
desk calculator)
620
1949 D. F. Ferguson and John
Wrench, using a desk
1120
1949 John Wrench, and L. R.
Smith were the first to use
an electronic computer (the
2037

10. 1958 Francois Genuys, using an IBM
704 (1.7 hours)
10021
1961 Daniel Shanks and John
Wrench, using the IBM 7090
(New York) (8.7 hours)
100265
1995 Yasumasa Kanada and
Daisuke Takahashi, HITAC S-
3800/480
322122000
0
2002 Yasumasa Kanada & 9 man
team, HITACHI SR8000/MPP
(64 nodes), 600 hours,
Department of Information
Science at the University of
Tokyo in Tokyo, Japan
1,241,100,
000,000
2013 Shigeru Kondo 12,100,000,000,0
50
2014 houkouonchi 13,300,000,000,0
00

11. now we see some formula for calculating pi
Leibnitz's Formula
PI/4 = 1/1 - 1/3 + 1/5 - 1/7 + ...
Euler's Formula
(PI2)/6 = SUM (n = 1..inf) 1/n2 = 1/12 + 1/22 +
1/32 + ...

12. The common method for calculating the value of pi
is.....the ratio of pi is circumference of a circle to its
diameter
here,
π=c/d
c=circumference
d=diameter
The common method for calculating the value of pi
is.....the ratio of pi is circumference of a circle to its
diameter
here,
π=c/d
c=circumference
d=diameter

13. 1.the value of pi is 3.14 if we denots it to american
calender then we find 3=march and 14=14th day
which means the 14 march is the pi day and
celebrate in 1.59 p.m . make an appropriate
3.14159
Albert Einstein was born on Pi Day (3/14/1879) in
Ulm Wurttemberg, Germany.
2.pi is irretional number that never ends
3.we know pi is discovered about 4000 years ago
but the symbol pi π is regularly used only past 300
years.
4. the symbol of pi is 16 letter of greek alphabet
and P is also the 16 letter of english alphabet
5.The first million decimal places of pi consist of
99,959 zeros, 99,758 1s, 100,026 2s, 100,229 3s,
100,230 4s, 100,359 5s, 99,548 6s, 99,800 7s,
99,985 8s, and 100,106 9s.a

14. Al-Khwarizmi, who lived in Baghdad around A.D.
800, worked on a value of pi calculated to four
digits: 3.1416. The term “algorithm” derives from
his name, and his text Kitab al-Jabr wal-Muqabala
(The Book of Completion Concerning Calculating
by Transposition and Reduction) gives us the word
“algebra” (from al-Jabr, which means “completion”
or “restoration”).
-Chao Lu, of China, can recite pi from memory to
67,890 places. He holds the Guinness World
Record for pi knowledge he took 24 hours and
4minits to recits
here's a method for remember digit of pi
"How I want a drink, alcoholic of course, after the
heavy lectures involving quantum mechanics

15. http://www.math.com/tables/constants/pi.htm
https://en.m.wikipedia.org/wiki/Chronology_of_com
putation_of_%CF%80