Question

Classify the following numbers as rational or irrational:

$2\pi$

Answer 1

The value of $\pi$ is $3.1415\dots$

On substituting the value of $\pi$ in equation $2\pi$, we get,

$2\pi =2\times 3.1415\dots =6.2831\dots$

Since the number, $6.2831\dots$, is non-terminating non-recurring,

Therefore, $2\pi$, is an irrational number.