Question

What is the value of $\pi $?

Answer 1

Hint:Take the circumference of any circle. The ratio of the circumference of a circle to its diameter will always give us the value of $\pi $.

Complete step by step answer:
We know that the value of $\pi $ is the ratio of the circumference of a circle to its diameter. Or we can say, $\pi $ is equal to the circumference of a circle divided by the diameter of that circle.
No matter how large or small the circle is, we will always get the same value of $\pi $.
We generally take the value of $\pi $ as 3.14 or $\dfrac{22}{7}$. But these are the approximate values, not the exact values. We take these approximate values to make our calculation easy.
Actually, there are an infinite number of digits after the decimal point or we can say an infinite decimal. After the decimal point, the digits go on forever and ever.
$\pi $ is an irrational number, which means that it is a real number that cannot be expressed by a simple fraction.
Though it is an irrational number, we use rational expressions to estimate $\pi $, like $\dfrac{22}{7}$. This rational expression is only accurate to a couple of decimal places.
The value of $\pi $ up to the first 10 decimal places is:
 3.1415926535
We can find out many more digits after this.
While there is no exact value of $\pi $, many mathematicians are interested in calculating $\pi $ to as many digits as possible.

Note: For our daily use or we can say to make our calculations easy we use the value of $\pi $ as 3.14 or $\dfrac{22}{7}$. But that does not mean $\pi $ is a rational number. Always remember that these are not the exact values of $\pi $, these are approximate values. $\pi $ is an irrational number.