## Pi
## History of PiThe importance of pi come into existence around 4000 years ago. The Babylonians and Egyptians were already aware of the existence and significance of the constant The Babylonians suggest the value 25/8. While at the same the ancient Chinese were used integer 3. In 1665, the scientist The value of pi is calculated by many other scholars. In the following table, we have summarized the ancient value of pi suggested by different scholars.
In 1767, The Swiss mathematician The Greek mathematician Archimedes had used an algorithm to calculate the value of pi up to 16 digits. Since, pi is also known as In ancient time the calculation of pi was based on the measurement. For example, the Egyptians calculated the value of pi 3.16. Similarly, the Babylon rope stretchers calculated the value of pi 25 / 8 = 3.125, while they were marking the location of the building and boundaries.Pi is an ## Definition of PiThe circumference (C) of a circle divided by its diameter (d). It means that for any size of the circle, the value of Pi will remain constant. The ratio of circumference and diameter is constant (pi). ## Pi symbolPi symbol was suggested by mathematician
In most cases, lowercase representation is used. ## Facts about PiIn the following points, we have summarized the most interesting facts about pi. - The term pi originates in
**Egyptian** - It is an
**irrational**number (all the real numbers that are no rational). - The exact value of pi cannot be found.
- It does not follow any pattern (such as 3.14155556666).
- We can never calculate the accurate area or circumference of a circle.
- The
**Pi day**is celebrated on**March 14**or**3/14**(where 3 represents the month, and 14 represents day) at**1:59 PM**(1 represents the hour, and 59 represents minutes), every year. Combining these digits, we get the pi value up to six digits i.e,**14159**. - There are six
**9**in a row at**762**place, which is known as^{nd}**Feynman point,**as shown in the following image. - In the first million digits of pi, the sequence
**123456**does not occur. - In Egypt, the structure of pyramids is based on the principle of pi. The word famous pyramid of Giza is the best example of it.
- Up to
**50 trillion**digits, the value of pi has been calculated yet. - On the Pi day, the famous scientist
**Albert Einstein**was born. - Pi is also known as
**Ludolph's Number, Circular constant,**and**Archimedes constant**. - The technique to remember the digits of pi is called
- The pi memory champion is
**Hiroyuki Goto,**who memorizes the pi value up to 42,000 digits. - The first
**one million**decimal places of pi consist of:
## Pi dayThe Pi day was founded by physicist It is an annual celebration day of constant pi. The day 14 March was chosen because it represents the first three digits (3.14) of pi. It is the reason that we celebrate pi day on 14 March. The objective of the day is to motivate the math enthusiasts to recite the endless digits of pi. ## Pi Approximation DayPi approximation day is celebrated every year on ## Uses of PiPi is used in different mathematical formulas for calculating the area of circle, circumferences, area of a cylinder, etc. It is also used in different fields such as cosmology, civil engineering, etc. We have listed some common areas where pi is used: - The statisticians use the constant for tracking population dynamics.
- In the medical field, it is used when studying the structure of the eye.
- It is also used in navigation (GPS).
- In the aeronautical field, it is used for measuring the area of skin of the aircraft.
- It is also used in spectrum analysis and signal processing.
- In the mathematics field, it is widely used for calculating the area of a circle, cylinder, etc.
There are following formulas that use pi: - The area of circle (A) = πr
^{2} - The circumference of a circle (C) = 2πr
- The surface area of the sphere (A) = 4πr
^{2} - The volume of Sphere (V) = 4/3πr
^{3} - The surface area of cone (A) = πrl + πr
^{2} - The volume of cone (V) = 1/3 πr
^{2 }h - The surface area of cylinder (A) = 2πr
^{2 }+h(2πr) - The volume of cylinder (V) = πr
^{2 }h
## World records set for PiThe latest world record set up by Another world record set up for memorizing the
y-cruncher is a multi-threaded program that is developed by The algorithm takes It is used by many enthusiasts to set world records for computation of pi value. In the following table, we have covered the last five world records.
- It can compute pi and other constants such as
**Golden Ratio, value of Log (2), e, square root of 2,** - It uses
**two**algorithms to compute most of the constants. The first algorithm is for computation and the second for verification. - It allows us to use multiple hard drives for faster disk swapping.
- Its
**multi-threaded**feature uses modern multi-core processors.
If you are interested in computing the value of pi, you can use the y-cruncher program. You can download it from http://www.numberworld.org/y-cruncher. Next TopicHow to find Area of a Circle |