**What is Tau?**

The constant is numerically equal to** 2*pi (2 times pi)**, and with value approximately** 6.28**. The ratio equates to 2*C/D. Where C is circumference and D is diameter of circle.

**Applications of Tau **

- There are
**many expressions**that actually require**“2*pi” calculation**, having tau being equal to that simplifies them to great extent, for e.g**Cicumference of circle = 2*pi*r = tau*r**. - Concept of tau can be useful in
**angular measurements**like angles in radians, representing as a complete “one-turn” and cos,sine functions in trigonometry have period of tau. - These concepts can be useful for
**teaching geometry**as would reduce the confusion of using “pi” and “2*pi” at many applications and would help get rid of factor of 2. - Tau
**simplifies euler’s identity**by eradicating the factor of 2. - It is
**useful at many places where “2*pi” are used**such as fourier transforms, cauchy integral formula’s etc.

**Criticism against Tau**

- Since it
**contradicts with the symbols of torque, shear stress and time**, this symbol has been a lot of criticism. - We already had a ratio of “C/D” equal to pi, having another circle ratio with factor of two will create confusion in choice.
- There exist
**formulas which look more elegant as expression of “pi”**rather than tau, for example, area of circle = pi*r*r = (tau*r*r)/2, introducing an extra factor of “1/2”.

**Coding Prospects**

Since Programming has always been trying to match up with mathematical advancements, symbol of tau has been introduced as a constant in recent python 3.6 under the math module. Below is the illustration of it.

`# Python code to demonstrate the working ` `# of tau ` ` ` `import` `math ` ` ` `# Printing the value of tau using 2*pi ` `print` `(` `"The value of tau (using 2*pi) is : "` `,end` `=` `"") ` `print` `(math.pi` `*` `2` `) ` ` ` `# Printing the value of tau using in-built tau function ` `print` `(` `"The value of tau (using in-built tau) is : "` `,end` `=` `"") ` `print` `(math.tau); ` |

*chevron_right*

*filter_none*

Output:

The value of tau (using 2*pi) is : 6.283185307179586 The value of tau (using in-built tau) is : 6.283185307179586

**Note :** This code won’t work on Geeksforgeeks IDE as Python 3.6 is not supported.

**Reference : **http://math.wikia.com/wiki/Tau_(constant)

This article is contributed by **Manjeet Singh**. If you like GeeksforGeeks and would like to contribute, you can also write an article using contribute.geeksforgeeks.org or mail your article to contribute@geeksforgeeks.org. See your article appearing on the GeeksforGeeks main page and help other Geeks.

Please write comments if you find anything incorrect, or you want to share more information about the topic discussed above.

Attention reader! Don’t stop learning now. Get hold of all the important DSA concepts with the **DSA Self Paced Course** at a student-friendly price and become industry ready.

## Recommended Posts:

- Check if two arrays are permutations of each other using Mathematical Operation
- Parity of the given mathematical expression using given N numbers
- Kaprekar Constant
- Find Index of given fibonacci number in constant time
- Percentage increase in the cylinder if the height is increased by given percentage but radius remains constant
- Maximize the first element of the array such that average remains constant
- Find a pair of intersecting ranges from a given array
- Bitwise AND of all unordered pairs from a given array
- Subsequences generated by including characters or ASCII value of characters of given string
- Calculate Bitwise OR of two integers from their given Bitwise AND and Bitwise XOR values
- Count numbers from given range having odd digits at odd places and even digits at even places
- Split array into equal length subsets with maximum sum of Kth largest element of each subset
- Split squares of first N natural numbers into two sets with minimum absolute difference of their sums
- Modify sequence of first N natural numbers to a given array by replacing pairs with their GCD