PAI is often denoted as the ratio of cicumference of a circle to its radious. It means it can be represented in the form m/n. However it is not a rational number.why?
Answers
Good question..
π
Pi is denoted as the ratio of circumference of a circle to its radius. Usually we use the value of π as 22/7 or 3.14
But, we also know that Pi is not a rational number. Then how can we express π as 22/7 where p and q are integers and q is not a zero?
HERE IS YOUR ANSWER:
The decimal expansion of π (22/7) is :
3.14159265358979323846264338327950288 41971......
Which is a non terminating and non recurring drcimal expansion.
Therfore, this makes us underatand that,
π is an irrational number and 22/7 and 3.14 are just the approximate values, made easy for the mathematical convenience.
So next time, don't be confused with rational and irrational numbers.
π indeed is an irrational number, 22/7 and 3.14 are just the approximate values.
Hope it helps ✌️