Question

What type of number is $2\mathrm{\pi }$?

Answer 1

We can rewrite $2\mathrm{\pi }$ as,

$2\mathrm{\pi }=2\left(3.14159265..\right)$

$\Rightarrow$ $2\mathrm{\pi }\approx 6.283$

$2\mathrm{\pi }$ cannot be expressed as a quotient of integers.

Hence, $2\mathrm{\pi }$ is an irrational number.