Question

How we actually find a value of pie?

I know that it is ratio of circumference to radius of circle. And it is also a irrational number.
Its value is different after decimal. By using this non terminating and non repeating number, how we get the accurate value of length of a circular shape.

Regards
Moh!t Anand

Answer 1

We do know the exact value of pi. It's... pi. You are most likely conflating "knowing an exact value" with "having a terminating or repeating decimal representation". A number that lacks the latter is no less exact than any other number. Also, we may compute the decimal representation of pi for an arbitrarily large number of decimal places if we really wanted. There's rarely any point though.

(Finally, note that we may show that in planar Euclidean geometry, the ratio of circumference to radius is the same for all circles. So we may define 2*pi to be that number such that C/r = 2*pi. So whether you were able to calculate a decimal representation of pi or not, we know that C = 2*pi*r because we have defined it to be that.)

Answer 2

Answer:

Circles are all similar, and "the circumference divided by the diameter" produces the same value regardless of their radius. This value is the ratio of the circumference of a circle to its diameter and is called π (Pi). This constant appears in the calculation of the area of a circle, and is a type of an irrational number known as a transcendental number that can be expressed neither by a fraction nor by any radical sign such as a square root, nor their combination. The number has an infinite number of decimal places, namely, 3.1415926535..., and it has now been computed to 5 trillion decimal places by computers

Step-by-step explanation: