Question

Ben says $\pi$ is a rational number as it equals the fraction $\frac{22}{7}.$ Max says that $\pi$ is irrational as its value is 3.14159... and that $\frac{22}{7}$ is only an approximation.

Choose the correct option.

Answer 1

$\pi$ is defined as the ratio of the circumference and diameter of a circle.

Also, $\pi =\mathrm{3.141592653...}$

Thus, $\pi$ is a non-terminating non-repeating decimal, and hence an irrational number.

However, since $\frac{22}{7}$ has a value close to $\pi ,$ we use it as an approximation for ease in calculations in everyday life.

Thus, only Max is correct.