Question

Which of the following statements is\are correct for $\pi$?

• A. $\pi$ is an irrational number.
• B. $\pi$ is ratio of circumference of a circle to diameter of the circle.
• C. Value of $\pi$ is 3.1415...
• D. $\pi$ is a rational number.

Answer 1

Answer: (A), (B), (C)

Value of $\pi$ is 3.1415...

Let's draw a circle with diameter d.

$\pi =3,\mathrm{14159...}$
$\Rightarrow$ Since $\pi$ is a non-repeating non-terminating decimal, it is an irrational number.
Option (a) and option(c) are correct and Option (d) is incorrect.

$\to$ Circumference of a circle $=\pi \times d$
$\pi =\frac{\text{Circumference of a circle}}{d}$
Option (b) is correct.