Pi how is it calculated




















This is because the Arcsin function is undefined for arguments greater than 1 or less than Plug your number into the following formula, and the result will be roughly equal to pi. It is not precisely equal to pi. While it does look like pi at first 3. It cannot be equal to pi because 3. Pi is an irrational number, meaning it goes on forever and does not repeat. Remember that irrational numbers are defined as "not being able to be written as a ratio between two numbers.

Not Helpful 86 Helpful You can't. Pi cannot be a fraction because it is irrational. This means that it cannot be expressed as a ratio of two rational numbers. Not Helpful 79 Helpful An irrational number is a number that cannot be expressed as a ratio of whole numbers i.

The root of the word 'irrational' is 'ratio', and the prefix 'ir' means 'not'. The word can have different meanings outside of math. Not Helpful 56 Helpful A rational number is a number that can be expressed as a fraction of two integers. There are no two integers you can plug into C and D that will give pi.

Either the circumference or the diameter of the circle if not both is always irrational though, like pi, we would normally round them when doing math to simplify things. Not Helpful 50 Helpful Not Helpful 82 Helpful Kevin Vega.

Not Helpful 90 Helpful Not Helpful 55 Helpful The world record was set by a very high-powered computer. You're not likely to break the record at home. Not Helpful 92 Helpful Memorization is your only hope. Mathematicians believe that the digits of pi are essentially random with no pattern. Not Helpful 29 Helpful Set the calculator to either degree, radian or gradian mode and then press the "sin" which may alternatively also be called the "sin " button.

The answer will be the sine of that angle. Not Helpful 65 Helpful Include your email address to get a message when this question is answered.

Calculating pi can be fun and challenging, but doing so too deeply has diminishing returns. Astrophysicists say they only need to use pi to 39 decimal places in order to do cosmological calculations that are accurate to the size of an atom. Helpful 0 Not Helpful 0. Submit a Tip All tip submissions are carefully reviewed before being published.

Related wikiHows How to. How to. Co-authors: Updated: October 8, Categories: Mathematics. Article Summary X Pi is roughly 3. You can use what Archimedes have done. Inscribe and circumscribe a polygon into a circle, as the number of sides rises, the area of the circle will be sandwiched between the areas of the two polygons.

If you take "infinit-gon" then you'll get the exact values. To arrive at them you need to use trigonometry and of course calculus. With computer this shouldn't be too difficult. Increasing the number of points and number of trials will get even better approximations. Two of the fastest algorithms are the Brent-Salamin algorithm based on the work of Gauss and Legendre, and the Chudnovsky algorithm based on a variant of one of Ramanujan's formulae.

You can also find much more on Wikipedia. If by derive you mean calculate programmatically, you can do it in numerous ways. There are other better approximations - Yacas book of algorithms suggests 4 other methods to find it. Sign up to join this community. The best answers are voted up and rise to the top. Stack Overflow for Teams — Collaborate and share knowledge with a private group. Create a free Team What is Teams? Learn more. Ask Question. Asked 7 years, 11 months ago.

Active 2 years, 7 months ago. Viewed 36k times. But where does this value comes from? Namit Sinha 1 1 gold badge 7 7 silver badges 13 13 bronze badges. See this. Nilakantha Series:. Unfortunately it was later found that he had made a mistake and was only right to decimal places!

The most recent record was created on Pi Day in by Google, who calculated Pi to Article by Hazel Lewis. Web design by Measured Designs. Hit enter to search or ESC to close.

Close Search. For example if an engineer wants to calculate the volume of a water pipe they will use the following formula for a cylinder: Where is the radius of the pipe and is the height of the pipe.



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