Why is pi 4 so bad?

PI is not 4, because the approximate figure is never really the same as the circle, even in the limit of infinite number of approximations.

Does pi really equal 4?

The length of the perimeter of the square is 4 since each side has length equal to the diameter of the circle. Since the jagged curve gets closer and closer to the circle and always has length 4 we can see that the perimeter of the circle has length 4. But the perimeter length is also equal to π. Therefore, π is 4.

Is pi smaller than 4?

It’s defined to be the ratio between the circumference of a circle and the diameter of that circle. And you can see that π is less than 4 if you look at the square that circumscribes a circle.

What’s the wrong with the$ \\ Pi = 4?

The simplest way to convey what is wrong with this “proof” that I can think of is: As you subdivide the square to closer approximate the circle, repeatedly “to infinity”, the zig-zags in the line not only become infinitely small, but at the same time you end up with an infinitely large number of them.

Which is the correct value of Pi for squaring Phi?

The answer is: Pi = 4 / 1.272019650… = 3.144605511… Therefore, the diameter of 4 Blue circles fit exactly tangent across the diameter of the Big Yellow Circle in Proof 1 Fig 1 when Pi = 3.144605511… . And since Pi is a universal constant, not a variable, there is no need to look for another value of Pi.

What is the value of Pi in Fig 1?

In Proof 1 Fig 1, we do not know yet what Pi is and so we ask, What is the value of Pi when the diameter of the Big Yellow Circle = 4 times the diameter of the Blue circle? The answer is: Pi = 4 / 1.272019650… = 3.144605511…

What is the ratio of Pi to the circumference of a circle?

(1) The ratio of the diameter of a circle to its circumference is 5/4 to 4. In other words, pi equals 16/5 or 3.2 (2) The area of a circle equals the area of a square whose side is 1/4 the circumference of the circle. Working this out algebraically, we see that pi must be equal to 4.