On what basis is it said that pi pie is infinite

The circumference of a circle is always more than 3 times the diameter, which means that the number of more than 3 times is a fixed number, and we call the ratio of the circumference of the circle to the diameter pi. It is expressed in terms of the circumference of the circle, the diameter of the circle, and the pi.

Pi is represented by the letter (pronounced pài).

Pi is an infinite non-cyclic decimal place, which means that its decimal part is both infinite and irregular, and although one can now use a computer to calculate hundreds of millions of places behind its decimal point, this number can never be written. We can only take its approximate value for calculation, usually take two decimal places, that is, .

In the past, people calculated pi to ** whether pi is a cyclic decimal. The mystery of pi has been unveiled since Lambert proved that pi is an irrational number in 1761 and Lindemann proved that pi is a transcendent number in 1882. Nowadays, people calculate pi, mostly to verify the computing power of computers, and also, for interest.

Pi is not divided by division at all.

Doing division can only get "rational numbers", as long as the division is inexhaustible, it must be an infinite loop decimals.

Because pi is an infinite non-cyclic decimal number, it belongs to "irrational numbers", and rational and irrational numbers are collectively referred to as real numbers.

About how to find pi, the landlord's current knowledge reserve does not seem to be able to understand, and when he learns deeply in the future, he will naturally come into contact.

Pi is the ratio of the circumference of a circle to its diameter. Pi, represented by the Greek alphabet, is a mathematical constant that is ubiquitous in mathematics and physics. 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. In analytics, it can be strictly defined as the smallest positive real number x satisfying sin x = 0.

Pi is a constant (approximately equal to, 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.

The calculation of pi in ancient China.

In 263 AD, the Chinese mathematician Liu Hui used the "circumcision" to calculate pi, he first connected the regular hexagon from the circle, and then divided it one by one until the circle was connected with a regular 192 sides.

He said, "If you cut it finely, you will lose it, and if you cut it again, you will not be able to cut it, but it will be combined with the circumference and there will be nothing lost." It contains the idea of finding the limit. Liu Hui gave an approximate value of pi of =, and after obtaining pi =, Liu Hui tested this value with the diameter and volume of the copper volume measurement standard Jia Lianghu made in the Han Dynasty in the Jin arsenal, and found that this value was still on the small side.

Because the only ratio of the circumference to the diameter of a circle is 6+2 3 to 3, pi is limited.

Pi is the earliest Chinese writer Liu Xin of the Western Han Dynasty based on the known area of the circle of seven squares, first introduced: "the circumference of the circle 6 + 2 3 to the diameter of the ratio of 3", and then according to this ratio to calculate the ratio is that the ratio of the circumference of the circle to the diameter is 6 + 2 3).

The rest of the ratios are not the ratio of the circumference of the circle to the diameter, but the ratio of the perimeter of a regular 6x2 polygon to the diagonal line that crosses the center point. Since n is infinite, it is therefore infinite.

The sum of the square of the horizontal distance from the center of the circle to any point on the circumference and the vertical distance, the result is equal to the radius. It can be seen from this that the circle contains the open root operation, and it is not surprising that irrational numbers appear.

Pi in Greek letters it is an irrational number, i.e., an infinite non-cyclic decimal number. In daily life, it is common to approximate the approximate rate of pi.

Ten decimal places is sufficient for general calculations. Even the most sophisticated calculations for engineers or physicists can be taken to a few hundred decimal places.

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Pi is only equal to 6/3 + 2 3.

Because the fixed hand of pi is "the ratio of the circumference of the circle to the diameter" (not "the ratio of the circumference of the regular n-sided to the diagonal" (so we must first know "the ratio of the circumference of the circle to the diameter of the circle is how many to many", and then according to this ratio, it can be deduced is a few divided by a few.

Since the diameter of a circle is the sum of the diameters of the three points and the circumference of the corresponding circle is the sum of the diameters of the six points plus the overlapping 2 3 points, "the ratio of the circumference of the circle to the diameter of the circle is 6 + 2 3 to 3". For this pi is 6+2 divided by 3.

The pi from one to ten factions is =.

Approximately equal to. Pi, pronounced pài in the Greek letters, is a constant approximately equal to a ratio that represents the circumference and 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.

History of Pi:

1. Experimental period.

An ancient Babylonian stone plaque clearly records pi =.

Ancient Egyptian artifacts from the same period, the Rhine Mathematical Papyrus also indicate that pi is approximately equal to.

The English writer John Taylor pointed out in his famous book "The Pyramid" that the ratio of the circumference to the height of the pyramid of Khufu, built around 2500 BC, is equal to twice the circumference of the circumference of the circle.

2. The period of geometric law.

Archimedes, the great Greek mathematician, pioneered the theoretical calculation of pi approximation in human history. Archimedes derives through complex calculations that the lower and upper bounds of pi are and , respectively, and takes their average values as approximations of pi. Bury the remaining limbs.

3. Analytical period.

During this period, people began to use infinite series or infinite continuous product to get rid of the complicated calculation of circumcisable circles. <>

Pi is the ratio of the circumference of a circle on a plane to the diameter of Lie Guess, and is a mathematical constant that is prevalent in mathematics and physics, approximately equal to ; Pi 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. It is an irrational number, i.e. an infinite non-cyclic decimal.

Ancient Greece, as an ancient geometric kingdom, made a particularly prominent contribution to pi, and the great mathematician Archimedes Zhijian pioneered the theoretical calculation of pi approximation in human history.