Question

What is Pi and what’s its value?

Answer 1

Hint: Pi (\[\pi \]) is the ratio of circumference to diameter of circle. Take the ratio of them to get the value of \[\pi \] in decimal form as well as in fractional form.

Complete step by step solution:
The value of Pi (\[\pi \]) is the ratio of the circumference of a circle to the diameter of the circle. We know that the circumference of the circle is the total distance around the circle and it is given by \[2\pi r\] or \[\pi d\], where ‘d’ is the diameter and ‘r’ is the radius of the circle.
The value of \[\pi \] always remains the same, no matter how big or small the circle is. The value of \[\pi \] can be written in either decimal form or fractional form, which is an approximate value.
\[\pi \] = $\dfrac{\text{Circumference }}{\text{diameter}}$ = 3.14159…..
The \[\pi \] value in fraction form is \[\dfrac{22}{7}\]. We know that \[\pi \] is an irrational number and the digits after the decimal point never end thus becoming a non – terminating value.
Thus we know the value of \[\pi \] = 3.14 or \[\dfrac{22}{7}\].

Note: \[\pi \] is one of the common examples while taking irrational numbers which are non – terminating in nature. This is because \[\pi \] has infinite decimals after the decimal point and the digits go on forever.