- #1
icystrike
- 445
- 1
Homework Statement
As stated abv.
Since [tex]\pi[/tex] can only be established by infinite sum and according to zeno's paradox we can never break a finite length into infinite pieces (loosely speaking)
I don't understand what this has to do with your question.icystrike said:Since [itex]\pi[/itex] can only be established by infinite sum and according to zeno's paradox we can never break a finite length into infinite pieces (loosely speaking)[/itex]
No, it is impossible to construct a perfect circle in the physical world. A perfect circle has infinite points and a perfect curve, which cannot be achieved in reality.
It is impossible because any physical object used to construct a circle, such as a compass or a protractor, has a finite size and measurement. Therefore, the resulting circle will always have imperfections.
While technology has advanced significantly, it still cannot produce a perfect circle. Even with advanced tools and precision, there will always be small imperfections due to the limitations of materials and measurements.
There are theoretical ways to approximate a perfect circle, such as using mathematical equations or computer algorithms. However, these are still not considered perfect circles as they are only representations in the digital or theoretical world.
The idea of perfection has always intrigued humans, and constructing a perfect circle is seen as a challenge and a way to push the limits of our abilities. It also has practical applications in fields such as mathematics, engineering, and art.