Anyway, the existing pi has no definite formula, only "approximation".
Is this way scientific or what??
Yes.
That is because pi is irrational. Any attempt at a simple formula like yours is only a weak approximation.
There are 2 methods which can be used, one is to simply measure it, which is what the early approximations were.
Another is to find 2 formulas which approximates it, one of which always produces a result which is over and one of which always produces a result which is under.
Then keep using them and any digits which agree are correct, until the first disagreement.
Why did you believe other people opinion more than your own experiment?
Is it the way science work?
Because they have more accurate means of determining it.
Yes, this is how science works.
Science doesn't work by just ignoring what other people have.
I have never done an experiment which contradicts the accepted value of pi.
The closest I have come is an experiment with large error.
What would be completely unscientific is rejecting all of that to replace it with some value which you cannot justify at all.
And some millenia ago THE WHOLE WORLD also used to believe pi=3.
Prove it.
Show me your math calculation, if any. I'll be listening.
Showing it isn't three was done some time ago.
The shortest distance between any 2 points is a straight line.
Thus a circular arc will be a longer distance.
Consider a regular hexagon with diagonal 2.
This can be inscribed inside a circle such that the corners touch the circle. Thus its radius will be 1, and its circumference will be 2*pi, which will be larger than the perimeter of the hexagon.
The hexagon is made up of 6 equilateral triangles with side length 1.
Each triangle has 1 side contribute to the perimeter of the hexagon.
Thus the perimeter of the hexagon will be 6*1=6.
Thus 2*pi>6.
Thus pi>3.
This can also be more general where the diagonal is 2*r, thus the side length of the triangle is r, thus the perimeter is 6*r, and the circumference of the circle is 2*pi*r.
Thus 2*pi*r>6*r. Thus pi>3.
Thus pi cannot be 3, it must be larger.
You can do this with other shapes and also include shapes the circle is inscribed in to get a better approximation.
To make a circle image, the best way is by doing manually by using a compass.
The area consicts of a). triangular part (0.7071m × 0.7071 m = ½ m² or 1m² devided by diagonal=½ m²) ; b. 1 m ×0.2929 m = 0.2929m².
What is b meant to be?
The simplest way is a triangle in the middle, and then 3 circular segments.
Unless you can calculate the area of that segment, you can just get an approximation.