Question

Find whether the following statement is true or false. \[\pi \] is an irrational number.
A. True
B. False

Answer 1

Hint: To solve this question, we should first have a brief knowledge about the terms given in the question, like what is \[\pi \], what is a rational, or an irrational number. After knowing the terms only, we will be able to find out the answer.

Complete step-by-step answer:
First, we will understand some terms.
In Mathematics, \[\pi \] is a constant. It is the ratio of the circumference of a circle to the diameter of the circle. It does not matter how big, or how much small is the size of a circle. It’s \[\pi \]will always remain the same. The value of \[\pi \]is \[3.14......\]. This is a never ending, or we can say a non-terminating sequence of numbers.
Rational numbers are the numbers that can be expressed as fractions, or as positive or negative integers, or as whole numbers.
Irrational numbers are numbers that have never ending digits after the decimal point. These are non-terminating sequences of numbers.
So, we got our result that \[\pi \] is an irrational number.
Therefore, the following statement is true. So, option A is correct.

So, the correct answer is “Option A”.

Note: Many students write the value of \[\pi \]as \[\dfrac{{22}}{7}\]. But it is not the exact value of \[\pi \]. The exact value of \[\pi \]is \[3.14......\]. Students use \[\dfrac{{22}}{7}\]as the value of \[\pi \], because it is easy to solve the questions using that value as it is a fraction, instead of using the never ending sequence.