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ValenceE
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Hello to all,
Quick question about Pi …
If we can have a finite circle, how can Pi not be decimal ?
VE
Quick question about Pi …
If we can have a finite circle, how can Pi not be decimal ?
VE
ValenceE said:what I mean by decimal is a number that has finite number of decimals.
ValenceE said:Why then does the ratio 1/3 not give a finite decimal expansion ?
damoclark said:On another planet, where the aliens have 12 fingers, Earth's 0.333333 recurring is written as 0.4
selfAdjoint said:YThe answer to the question is that pi is not a rational number, so there is NO basis in which its representation is a finite number of digits.
ValenceE said:Hey !, thank's for your replies,
You know what ?, I realize I have a lot of questions about how I comprehend mathematical abstractions.
Couldn’t we say that a perfect 1 x 3 rectangle exists in the abstract realm ?, if so, then we should be able to divide this rectangle in three perfectly equal 1 x 1 squares , no ?
Why then does the ratio 1/3 not give a finite decimal expansion ?
VE
Pi (π) is a mathematical constant that represents the ratio of a circle's circumference to its diameter. It is approximately equal to 3.14159, but it is an irrational number with infinite decimal places.
Pi has been studied and used in various civilizations for thousands of years, but it was the Greek mathematician Archimedes who first calculated its value to be between 3 1/7 and 3 10/71 in the 3rd century BC.
Pi is important in mathematics and science because of its role in calculating the properties of circles and spheres. It is also used in many mathematical formulas and equations, and has applications in fields such as physics, engineering, and statistics.
No, Pi is an irrational number, which means it cannot be expressed as a simple fraction and its decimal representation never ends or repeats. Therefore, it is impossible to calculate Pi to its exact value, but it can be approximated to any desired degree of accuracy.
As of 2021, the most accurate calculation of Pi has been done using supercomputers and has reached over 31 trillion digits. However, for most practical applications, a few decimal places of Pi are sufficient.