How to find the information of pi, how to find pi?

Pi. circumference of a circle to the diameter，ratio of

The ratio of the length of the circumference to the diameter.

Denoted by . The ratio of the circumference to the length of the diameter of any circle, regardless of its diameter, is a constant, which is the earliest special constant that human beings have gradually recognized in the practice of measuring the circumference of a circle and the area of a circle. In ancient China, it was recorded that "diameter is three times a week", that is, pi is considered to be a constant.

The study of values has gone through a long process, and the values obtained are becoming more and more accurate. More than 1600 B.C., ancient Egypt recorded the value of:

Archimedes of the ancient Greece obtained an approximation of the upper and lower bounds of pi by calculating the circumference of the inscribed and circumscribed regular polygons of a circle around 240 BC. A few hundred more years passed, in 150 A.D. cPtolemy gives it in the Mathematical Compilation.

During the Wei and Jin dynasties of China, Liu Hui used the circumcision method to calculate in about 260 A.D., and not only obtained this value, but also had the idea of limit, which can find a more accurate value. Zu Chongzhi of the Northern and Southern Dynasties of China further calculated the exact 8-digit number, and also proposed the "approximate rate" and "dense rate".

In Western Europe, it was only after the Renaissance that someone surpassed Zu Chongzhi in calculations. After the 16th century, the study of the was more intensive, and in 1579 the Frenchman FVeda used the classical method to calculate the side length of the regular 3 217 polygon, and the value obtained was accurate to 10 digits.

1596 Dutchman LVan Koren finds 20 decimal places. After the invention of the electronic computer, the calculation of values has made amazing progress.

In 1949 it was calculated to be 2037 bits, and in 1983 it was calculated to 223 (more than 8 million) bits. There can be no end to the calculation of the number of digits of , because it is an irrational number. This fact was proved by Lambert in 1767.

Therefore, it cannot be expressed as a fraction, nor as a finite or cyclic decimal. It is also a transcendent number, i.e. it cannot be the root of any rational coefficient polynomial, a fact that was proved by Lindemann in 1882. Thus, one of the ancient problems of "turning a circle into a square" was solved.

That is, it is impossible to square a circle by drawing a ruler. This number also has a special application in the radian system of angles. The radian system specifies that the size of the central angle of an arc of equal length and radius is 1 radian.

Thus, when the radius is equal to 1, the radian of the central angle of the circle is equal to the arc length of its pair, and with 1 radian as the unit of the angle, then the size of the perimeter angle is 2 radians, and thus is equivalent to the radian value of the 180° angle.

Dizzy, isn't it something like that?

1. l1 = qn arctgn

b a, q a+b, n ((a-b) a) 2,) This is derived according to the circumference of the circle and the principle of circumcision, and the accuracy is average.

2. L2 45°(a-c+C sin)b 0,c (a 2-b 2), arccos((a-b) a) This is derived according to the characteristics of two pairs of fan-shaped scattered bands forming an ellipse, and the accuracy is average.

Three-bend forest, L3 Q (1+mn).

q a+b, m 4 -1, n ((a-b) a) This is based on the formula of the circumference of the reed, and the accuracy is average.

4. L4 2A 2+2B 2)(1+mn)q a+b, M 2 2 -1, n ((a-b) a) This is derived from the characteristics of the ellipse a b, and the accuracy is average.

5. L3 (4AB 2+15(A-B) 2)(1+mn)m 4 15-1, N ((A-B) A) 9).

Pi ( ) is an infinitely non-cyclic decimal that represents the ratio of the circumference to the diameter of a circle. In practical calculations, we can use approximations or more precise approximations, such as or.

There are several ways to get an approximation of pi:

1.Mathematical formulas: Circumference can be calculated by some mathematical formulas, such as Leibniz series, infinite series, etc. Among them, the Leibniz series is one of the widely used methods.

2.Geometric method: Pi can be calculated approximate by using the relationship between the geometry of the circle and the square.

3.Statistical Methods: Using the principles of random numbers and probability, the Monte Carlo method is used for probability statistics, so as to approximate the calculation of pi.

4.Computer simulation: Using the computer's high-precision liquid core computing power, the approximate value of pi is calculated through iterative and approximation methods.

Regardless of the method used, the exact value of pi cannot be calculated precisely because it is an irrational number. In general, an approximation of suitable accuracy is sufficient in practical applications.

The circumference of any actual circle divided by its diameter is equal to.

Approximately equal to pi, according to the formula: circumference of a circle = pi x diameter. Pi is represented by the Greek letter (pronounced pài) and is a constant (approximately equal to 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. Ten decimal places is sufficient for general calculations. Even for the more sophisticated calculations of an engineer or physicist, the amount of the pin is only a few hundred decimal places.

During the Northern and Southern Dynasties, Zu Chongzhi calculated the approximate value of pi between and proposed that the approximate rate of circumference was 22 7 and the density rate was 355 113.

Zu Chongzhi was the first to mention the upper and lower limits, and set pi between this boundary. And his exact value of pi was far ahead of the world at that time, and it was not until 1000 years later that the Arab mathematician Al-Qasic surpassed him. Therefore, it has been proposed in the international community to name "pi" as "ancestral rate".

The circumference of the curve of the circle is 6 + 2 3 divided by the diameter 3 and so onor 3/3 of great filial piety (6 + 2 3).is pi

The perimeter of the polyline of the regular n-sided divided by the diagonal is equal to the n-edge ratio of the regular roll.

Overview: Pi calculation, as follows:First of all, =, bring it into the formula, and have the following solution:

12 vultures = 12*16 vultures = 16*25 vultures = 25*36 vultures = 36*49 vultures = 49*64 vultures = 64*81 vultures = 81 * <>

How pi is found:An ancient Babylonian stone plaque (circa 1900-1600 BC) clearly states that pi = 25 8 =. An ancient Egyptian artifact from the same period, the Rhind Mathematical Papyrus, also indicates that pi is equal to the square of the fraction 16 9, approximately equal to.

The Egyptians seem to have known pi much earlier.

The English writer John Taylor (1781-1864) pointed out in his famous book The Pyramid that the pyramid of Khufu, built around 2500 BC, is related to pi. The Hundred Paths of Sanskrit, an ancient Indian religious magnum opus written between 800 and 600 BC, shows that pi is equal to the fraction 339 108, which is approximately equal to.

The above content refers to Encyclopedia - Pi.

There are many formulas for calculating pi. Here's one:

In this formula, the more items you calculate, the more accurate the result will be.

Pi is the ratio calculated from the "ratio of the circumference of the (curve) of the circle to the diameter" (6+2 3) 3=.

The regular n-side ratio is an infinite ratio calculated from the "infinite ratio of the circumference of the regular n-sided (polyline) to the diagonal".

The formula for calculating pi is: perimeter c diameter d= .

Pi (Pi) is the ratio of the circumference of a circle to its diameter, generally represented by Greek letters, and is a mathematical constant that is common in mathematics and physics. It is also equal to the ratio of the area of the circle to the square of the radius, and is the key value for accurately calculating the circumference of the circle, the area of the circle, the volume of the sphere and other geometric shapes.

A circle is a type of geometric shape. By definition, a circle is usually drawn with a compass. The diameter and length of the radius of the circle within the same circle are always the same, and the circle has an infinite number of radii and an infinite number of diameters.

A circle is an axisymmetric, center-symmetrical figure. The axis of symmetry is the straight line where the diameter is located. At the same time, the circle is a "positive infinite polygon", and "infinity" is just a concept.

When the polygon has more sides, its shape, circumference, and area are closer to a circle. So, there is no real circle in the world, and the circle is really just a conceptual figure.

Pi is based onPoint inThe circumference of the circle c is 6 + 2 3 and the number of points in the corresponding diameter d is 3The ratio is calculated according toThe ratio of the circumference of a regular n-sided to the diagonalThe calculated positive n-side rate, the positive n-side rate is not equal to the pi.

Pi is calculated by comparing the point diameters to the respective quantities of the circumference and diameter of the circle.

Because the diameter of the circle is the sum of the point diameters of 3 points, the circumference c of the circle corresponding to it is the sum of the 6 points of the outer points on the circle surface arranged according to the nature of the curve plus the overlapping point diameters 2 3, so when the diameter d is 3, the circumference c of the corresponding circle is 6+2 3.

Because the ratio of the circumference of the circle to the diameter of their point diameters is 6+2 3 to 3, there is only one value for pi, which is (6+2 3) 3 (or approximately equal to.

f=ma=m2 r (note: r is the mean radius);

2πn/60；

a=12000×g；

g=；Therefore n=(3600 12000 kaisquared.

Suppose r=, n=