IF a calculated area is resulted from substraction of minor areas

THEREFORE

the actual area is *not* the calculated area.

IF pi is the calulated area

THEREFORE

pi is wrong

All it means is that **π** is not *exactly* the value calculated but the calculated value gets closer and closer to the exact value of **π** as more sides are used.

Your method is only *very approximate* and cannot easily be improved.

But what you have forgotten is that *Archimedes* proved that ^{223}/_{71} < π < ^{22}/_{7} or **3.1408 < π < 3.1429)**.

So while he did not find an exact value of **π** he found upper and lower bounds to **π**.

And these can easily be brought closer by using the same method but with more and more sides. But that method is not used anymore because it takes too many sides to calculate **π** to extreme accuracies.

And, of course, the exact value of **π** can never by found because it is a *trancendental number*

This pi series goes bigger total extent as the angles goes smaller.

Unfortunately pi method assumes that this series goes to the right decimals after 3.1 something.

Are you not consider the growing n while the angles grow smaller?

For the equilibrium 0.01° angles you've got 18,000 sectors for area caculation, and 36,000 sectors for circumference calculation.

n will be followed by the same n of abandoned 18,000 areas or 36,000 abandobed length differences (arc lengths minus triangle base lengths).

As shown at the previous video, phew method calculates with definite 'hint' numbers within a definite diagram. Therefore phew is

*fragrant* :')