How is pi deduced What is pi and how is it calculated?

The origin of pi "".

Long ago, it was recognized that the ratio of the circumference of a circle to the diameter of a circle was a constant independent of the size of the circle, and called it pi. William of England, 1600. Ottolante was first used to denote pi because it was Greek"Circumference"The first letter, and the δ is"Diameter"When δ=1, pi is

Jones in England was first used in 1706In 1737 Euler used the term in his writingsLater, it was widely accepted by mathematicians and has not been used to this day.

is a very important constant. A German mathematician commented:"The accuracy of pi calculated by a country in history can be used as an important indicator of the level of development of mathematics at that time.

Many mathematicians, both ancient and modern, have worked tirelessly to find ways to calculate excess values.

In 200 B.C., the ancient Greek mathematician Archimedes was the first to theoretically give the correct way to find values. He used the circumference of the circumsection of the circle and the circumference of the inscribed polygon to gradually approach the circumference of the circle from the large and small directions at the same time, and skillfully obtained it

The value was pushed to 16 decimal places, breaking the record held by Zu Chongzhi for thousands of years. 1579 French Veda. Pi is the ratio of the circumference of a circle to its diameter, and in ancient times it was circumcised, that is, with an inscribed polygon, and.

The first person to introduce pi was Zu Chongzhi, who used a regular polygon to divide a circle, and finally introduced pi between to.

Zu Chongzhi used wooden sticks to build polygons.

Pi, generally speaking, is a mathematical constant that is prevalent in mathematics and physics. It is defined as the ratio of the circumference to the diameter of a circle. It is also equal to the ratio of the area of the circle to the square of the radius.

It is the key value to accurately calculate the geometric shape of the circumference, area of the circle, and the volume of the sphere.

Analytically, it can be strictly defined as the smallest positive real number x satisfying sin(x)=0.

You don't have to do the math, you just know.

In ancient times, China was ahead of the world level in the calculation of pi for a long time, which should be attributed to the new method created by the mathematician Liu Huizhang in the Wei and Jin dynasties - "circular cutting technique". "Circumcision" refers to the method of using the circumference of the polygon inscribed in the circle to approximate the circumference of the circle infinitely, so as to find the pi. This method is a new method created by Liu Huizhang after criticizing and summarizing various ancient calculation methods in the history of mathematics.

Pi is the Greek alphabet (pronounced pi). A constant (approx.) that represents the ratio of the length of the circumference to the diameter. It is an irrational number that does not circulate indefinitely in daily life, and is usually approximated by representing pi.

A 10-digit decimal can support general calculations. Even if engineers and physicists were to do more sophisticated calculations, they would be able to take a few hundred decimal places at most.

How pi is derived is as follows:

Pi is calculated by dividing the circumference of a circle by its diameter. "Pi"That is, the ratio between the circumference of a circle and its diameter.

Introduction to Pi:

Pi refers to the ratio of the circumference of the circle to the diameter, that is, pi = the diameter of the circumference of the circle, which is represented by the Greek letter of the Dust Tree, and is a mathematical constant that is prevalent in mathematics and physics.

It is also equal to the ratio of the area of the circle to the square of the radius, that is, pi = area of the circle Radius 2 is the key value to accurately calculate the geometric shapes such as the circumference of the circle, the area of the circle, and the volume of the sphere. In analytics, it can be strictly defined as the minimum positive number x that satisfies sinx = 0.

Pi, represented by the Greek letter (pronounced [pa]), is a constant (approximately equal to, representing the ratio of the circumference to the diameter of a circle. It is an irrational number, i.e., an infinite non-cyclic decimal.

In daily life, it is common to approximate the approximate rate of pi. Nine decimal places are sufficient for general calculations. Even the most sophisticated calculations for engineers or physicists can be taken to a few hundred decimal places.

In 1665, the English mathematician John Wallis published a mathematical treatise in which he derived a formula that found that pi is equal to the product of the multiplication of infinite fractions. In 2015, scientists at the University of Rochester discovered a formula for the same circumference of the Yuanzheng Bridge in the quantum mechanical calculation of the energy level of the hydrogen atom.

On March 14, 2019, Google announced that pi is now in trillions of decimal places.

On August 17, 2021, Fun Science** reported that Swiss researchers used a supercomputer to calculate the famous mathematical constant pi to a trillion decimal places over a period of 108 days, setting a record for the most accurate value of this constant to date.

To derive the formula for calculating the circumference of a circle, add the six dots on the periphery of the circle surface in "The figure below is a unique method for deriving the area of a circle" (Fig. 4)."Pythagorean theorem"The sum of the 2 and 3 points of overlapping points is found.

From the practical operation, it can be seen that it has nothing to do with the area formula and the perimeter formula of the circle, but only plays an approximation, close to or equivalent to pi.

Because it is a positive 6x2 edge rate in place of pi. (The ratio of the circumference of the regular 6x2 polygon to the diagonal line passing the center point is called the 6x2 marginal ratio; Whereas, pi is the ratio of the circumference of a circle to its diameter). So it's not the value of pi.

According to the "circumference of the closed figure of the cracked slag plane is equal to the sum of the peripheral points and the overlapping points multiplied by the length of the point diameter", it is found that "the ratio of the circumference of the circle to 1/3 of the diameter is: 6+2 3". The formula for the circumference of a circle: c=d(6+2 3) 3

Pi must first know the "ratio of the circumference to the diameter of the circle" and then according to its only ratio (6+2 3 to 3) to get its ratio as (6+2 3) 3 or (pi is approximately equal to.

As in the case of 1, the regular quadrilateral ratio must first know the "ratio of the circumference of the regular quadrilateral (square) to the diagonal" and then according to its only ratio (which is 4 to 2) in order to obtain its ratio as 2 2 or (the regular quadrilateral ratio is approximately equal to.

2. The regular hexagon must first know the "ratio of the circumference of the regular hexagon to the diagonal", and then according to its only ratio (6 to 2), its ratio is 3 or (the regular hexagon ratio is equal to 3).