Pi

Sayahna R V
Updated on

In mathematics, pi is the ratio of circumference to the diameter of a circle. symbol π was devised by British mathematician William Jones in 1706 to represent the ratio and was later popularized by the Swiss mathematician Leonhard Euler.   

A pi is an irrational number and it is non-repeating. The pi value up to the first 100 decimal places is:

3.14159 26535 89793 23846 26433 83279 50288 41971 69399 37510 58209 74944 59230 78164 06286 20899 86280 34825 34211 7067which is approximated as 3.14 or 22/7.

Table of Contents

History

The importance of PI has been recognized for at least 4,000 years. the history of pi notes that by 2000 B.C., “the Babylonians and the Egyptians aware of the existence and significance of the constant π,” recognizing that every circle has the same ratio of circumference to diameter. Both the Babylonians and Egyptians had rough numerical approximations to the value of pi, and later mathematicians in ancient Greece, particularly Archimedes, improved on those approximations. By the start of the 20th century, about 500 digits of pi were known.

Chudnovsky algorithm is a fast method for calculating the digits of π, based on Ramanujan’s formulae. It was published by the chudnovsky brothers in 1998. researchers in Switzerland are set to break the record for the most precise value of the mathematical constant pi, after using a supercomputer to calculate the famous number to its first 62.8 trillion decimal places.  Emma Haruka Iwao is a Japanese computer scientist and cloud developer advocate at Google. 

In 2019 Haruka Iwao calculated the world record most accurate value of pi (π); which included 31.4 trillion digits, exceeding the previous record of 22 trillion. This record was surpassed in 2020 by Timothy Mullican who calculated 50 trillion digits.

Real-life applications of pi

1) Triganomretry

It is also used to get the value of trigonometry functions like sine, cosine, tangent…etc. It can measure the circular velocity of things like the truck wheel, motor shafts, engine parts, and gears, and it also measures.

 Ac voltage across a coil and a capacitor in fact they have a filter with a special name to it.

2) Nature

Using pi, it can measure things like an ocean waves, light waves, sound waves, river bends, radioactive particle distribution and probability like the distribution of pennies, the grid of nails and mountains by using a series of circles

 3)The navigation system and positioning

Aircraft, aero planes etc, generally fly in the path which is an arc of a circle, length of this path must be calculated in order to determine the quantity of fuel required.

You are on earth, to find your accurate position on the globe, most methods, for calculation of position would require π.

4)Geometrical designs & Construction:

Calculation of surface area, the volume of curved objects i.e- Cylinder, Cone, Sphere etc, like calculation of area & volume of machine parts requires Pi.

Designing bridges, and highway curves require Pi.

Some other applications

1) Electrical engineers used pi to solve problems for electrical applications

2) Statisticians use pi to track population dynamics

3)Medicine benefits from pi when studying the structure of the eye

4) Biochemists see pi when trying to understand the structure/function of DNA

5) Physicists looking into the behaviour of fluid ripples see pi and use it in their calculations
6) Clock designers use pi when designing pendulums for clocks

Next post
Results

1 Comment

Types of Logarithmic functions and application | Stuid learning app June 21, 2022

[…] Read more: Know about Pi  […]

Reply

Leave a Reply

Your email address will not be published. Required fields are marked *