Web & Social Media Analytics Previous Year Question Paper.pdf
Pi (Maths)
1.
2.
3.
4.
5.
6. Approximate value
• Fractions: Approximate fractions
include (in order of increasing
accuracy) 22/7, 333/106, 355/11
3, 52163/16604,
and 103993/33102.
• Decimal: The first 100 decimal
digits are 3.14159 26535 89793
23846 26433 83279 50288
41971 69399 37510 58209
74944 59230 78164 06286
20899 86280 34825 34211
70679 ....
7. • The calculation of π was revolutionized by the
development of infinite series techniques in
the 16th and 17th centuries. An infinite series
is the sum of the terms of an
infinite sequence. Infinite series allowed
mathematicians to compute π with much
greater precision than Archimedes and others
who used geometrical techniques.
8.
9. 1) Electricalengineers used pito solve problems for
electrical applications
2) Statisticiansuse pi to track population dynamics
3) Medicinebenefitsfrom piwhen studying thestructure of the eye .
4) Biochemists see pi whentrying to understand the structure/function
of DNA
5) Clockdesigners use pi whendesigningpendulumsfor clocks
6) Aircraft designers use it to calculate areas of the skin of theaircraft
10.
11. More precision becomes available
• Pi was calculated to 2000 places with
the use of a computer in 1949.
• In this calculation, and all calculations
following it, the number of 7s does
not differ significantly from its
expectation.
• The record number of decimal places
for pi calculated in 1999 was
206,158,430,000. However, this
record has already been broken.
12. TheNotationof pi
• The first to use the
symbol π with its current
meaning was William
Jones in 1706.
• Euler adopted the
symbol in 1737 and it
soon became a standard.
William Jones
Leonhard Euler
