How to get Pi

Getting pi

First and most obvious way to calculate Pi (?) is to take the most perfect circle you can, and then measure its circumference and diameter to calculate Pi (?). That is what ancient civilizations would have done, and so they would have first realized that there is a constant relationship hidden in every circle. Irrespective of the size of the circle, this ratio is always the same pi.

Pee day: Story of Pi

It has been known for nearly 4000 years - but even if we had computed the number of seconds in those 4000 years and computed Pi to that number of digits, we would still only estimate its real value. Babylonians used to calculate the area of a circular arc by taking three squares of its radii, giving a value of pi = 3.

Egyptians recalculated the area of a sphere using a equation that gave the rough value of 3.1605 for pi. The Pythagorean theorem helped him to find the surfaces of two ordinary polygons: the polyline written into the sphere and the polyline in which the sphere was bound.

The polygon surfaces set lower and higher limits for the circular area since the circular area itself is located between the surfaces of the labeled and paraphrased polylines. At 355/113 he computed the value of the relation of the circumference vs. the diametre of a circular arc.

In order to calculate this precision for Pi, he must have begun with a registered 24,576 gon and done long computations with hundred of squared root with 9 decimals.

Calculate Pi (?)

Pi (?) is in a way a really simple number - when Pi is calculated, each circular arc is taken and its perimeter divided by its diametre. Pi (?), on the other side, is the first number we know in schools where we can't spell it as an accurate value - it's a cryptic number that has numbers that go on forever and have been fascinating humans for millennia.

If, for example, an engineer wants to determine the volumetric capacity of a plumbing system, he uses the following equation for a cylinder: Since Pi (?) has so many important applications, we need to be able to begin calculating it, at least with an exactness of several decimals. First and most evident way to compute Pi (?) is to take the most perfectly circular you can, and then take its perimeter and diameters to compute Pi (?).

However, the issue with this technique is precision - can you be sure that your scale Pi (?) will return correctly to 10 or more decimals? Archimedes, the ancient Greeks philosopher, developed an inspired way to approximate Pi (?). Then he could work out the precise perimeters and diametres of the hexagons and thus get a coarse estimate of Pi (?) by splitting the perimeter by the diametre.

Then he could find a more precise approach to Pi (?) by using more sides of polygon that were nearer the arc. Archiemedes accurately estimated the perimeter and diameters and could therefore estimate Pi (?) to be between 22371 and 227. As a result, Pi (?) approached 355113, which is six decimals high.

Almost 600 years passed before a completely new approach was developed to improve this approach. Finally, mathematicians found that there are indeed accurate formulae for the calculation of pi (?). The use of the Gregory-Leibniz serie is one of the best known and most attractive ways to compute Pi (?):

And if you were to continue this design forever, you could accurately model www web site and then simply factor in 4 to get www web site.... However, if you begin to sum up the first few words, you will get an approach for Pi (?). Trouble with the above is that you have to sum up many words to get an exact approach to Pi (?).

More than 300 words must be added to create Pi (?) with an accuracy of two decimals! The Nilakantha range, which was invented in the fifteenth centuries, is another range that is joining forces more quickly. Convergence means you need to work out fewer words to get your response nearer to Pi (?).

They have also found other more effective ways to compute Pi (?). More and more computer programmes can sum up more and more concepts and compute Pi (?) with exceptional precision. By 2014, the computer pi (?) correctly calculates a value of 13,300,000,000,000,000,000,000 places to the maximum number of decimals, a global reference number. Prior to the introduction of computer it was much more difficult to compute Pi (?).

It took 15 years in the nineteenth century until Pi (?) was calculated correctly to 707 digits. Sadly, it was later discovered that he had made a error and had only 527 digits after the comma!

Mehr zum Thema