What is Pi Exactly? - 1Trillion Digits of Pi.

Pi (symbol "π", "P" in ancient Greek) or "π" is an important mathematical constant, roughly valued at 3.14159. In Euclidean geometry, the ratio of the circumference and diameter of any circle is expressed by this constant. But in the same way it is equal to the ratio of the area of ​​the circle to the square of its radius.

Pie is found in many sources of mathematics, science and engineering. Pi is an irrational number, meaning it cannot be expressed as a fraction of two integers. In other words, it is not possible to express it completely in decimal form. This does not mean that some numbers come in periodic or repetitive forms. Rather, the digits after the decimal are found by chance in this case.

The more mysteries there are in the world, the more people are interested in them. Similarly, I get a mathematical symbol surrounded by a mystery (π). About 4,000 years ago today, the Egyptians first started working with (π) and it is thought that they knew the use of pie at that time. Since then, the current mathematician Pipasura has been researching with equal interest (π).

The importance of pie in mathematics is immense. The value of pie is 3.1418 and "Pie Day" is celebrated on March 14 every year. Pie (π) Day is sometimes celebrated on March 14 at 1:59 p.m. At 1:59 pm on that day, it was called Pi Minute.

Pie is not only irrational so, but it is simultaneously a trumpet number. That is, it cannot be counted as the root of any polynomial equation. Throughout the history of mathematics, extensive attempts have been made to accurately determine the value of pi. Even such efforts have sometimes been part of the culture. The Greek letter pi (Greek:p) comes from the Greek perimeter "perimetros".

It was probably first used by William Jones in 1706. Leonardo Euler later popularized it. Pie is pronounced as English pie when used in mathematics, although its Greek pronunciation is p. It is sometimes called the circular constant, Archimedes' constant, or Rudolf's number (the name of the German mathematician whose work on the value of pi is world-famous).

In Euclidean plane geometry, circles:

Note that the circumference or diameter does not depend on the size of the circle. If the diameter of one circle is twice the diameter of another circle, then the circumference of that circle will be twice the circumference of the next circle. That is, (circumference / diameter) will remain the same. This phenomenon is a result of the similarity of all circles. Area of ​​the circle = π area of ​​the marked part; In other words, it can also be expressed as the ratio of the area of ​​a circle and the length of a square equal to the radius of the circle.

Irrationality and turbulence:

Constant π an irrational number; This means that it cannot be written as a ratio of two integers. This was proved by Johann Heinrich Lambert in 1761. In the twentieth century, simple evidence came out that could be understood with a general knowledge of calculus. The proof of Ivan Niven is well known. Another proof of this is given by Mary Cartwright.

In 1882, Ferdinand von Lindemann proved that pi is a trumpet number. This means that there is no polynomial equation with rational coefficients, the root of which. So another feature of it is that with the help of compass and ruler, it is not possible to draw something similar to pie. This means that a square with an area equal to the area of ​​a circle can never be drawn with the help of a compass and ruler. So, What is pi full number? or What is the first 100 digits of pi?

Below decimals up to a thousand houses, the value of pi is given below:

π =

3.141592653589793238462643383279502884197169399375105820974944592307816406286208998628034825342117067982148086513282306647093844609550582231725359408128481117450284102701938521105559644622948954930381964428810975665933446128475648233786783165271201909145648566923460348610454326648213393607260249141273724587006606315588174881520920962829254091715364367892590360011330530548820466521384146951941511609433057270365759591953092186117381932611793105118548074462379962749567351885752724891227938183011949129833673362440656643086021394946395224737190702179860943702770539217176293176752384674818467669405132000568127145263560827785771342757789609173637178721468440901224953430146549585371050792279689258923542019956112129021960864034418159813629774771309960518707211349999998372978049951059731732816096318595024459455346908302642522308253344685035261931188171010003137838752886587533208381420617177669147303598253490428755468731159562863882353787593751957781857780532171226806613001927876611195909216420 1989

Although the value of pi is found to be more than one trillion (12 zeros after 1) after the decimal, the value of more than 12 cells after the decimal is not required in general work. Interestingly, if we use the value of 39 cells to calculate the circumference of the largest circle in the world, its fineness would be equal to that of a hydrogen atom.

Pie itself is an infinite decimal increment because π an irrational number, its decimal increment never ends or repeats. This infinite trend has fascinated mathematicians and ordinary people throughout the ages. So everyone has tried to find out the exact value of it. Not only sound education but his alertness and dedication too are most required. Many people also ask, "Does PI have an end?" Let's get the answer.

Sir Isaac Newton determined the value of pi in 1665 and calculated the value of pi to 16 cells after decimal. In the present computer age, the value of pi (π) is possible to know upto trillion cells. But since pi is an irrational number, its value will never end.

References: Wikipedia