Question

Is $\mathrm{\pi }$ a rational, irrational number, natural, whole or integer?

Answer 1

Defining $\mathrm{\pi }$.

We know that Irrational numbers are real numbers that are non terminating and non repeating and cannot be represented as a simple fraction. It cannot be expressed in the form of a ratio, such as $\frac{p}{q}$, where $p$ and $q$ are integers, $q\ne 0$.

In decimal form, $\mathrm{\pi }$ is expressed as $3.14159265358979\dots$ which is non terminating and non repeating.

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