Undergrad Understanding the Physical Meaning of Pi in a Circle

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The discussion centers on the physical meaning of π in relation to circles, emphasizing that π is the constant ratio of a circle's circumference to its diameter. Participants clarify that while π has an infinite decimal representation, it is a finite, irrational number, not infinite itself. The conversation also addresses the confusion around the interpretation of π's decimal expansion, explaining that this non-terminating nature does not imply the absence of perfect circles. The significance of π lies in its consistent application across all circles, where the circumference can be calculated as π times the diameter. Ultimately, π serves as a fundamental constant in geometry, illustrating the relationship between linear and circular measurements.
  • #31
akashpandey said:
yes .14159 and so on :nb) .
please can you explain ?

What exactly do you want explained? Have you understood anything that's been said in this thread so far?
 
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  • #33
akashpandey said:
what is exact measurement of that last part since the measurement of that last part is .142 so on is infinite so its length is also .142 and so on

The exact length is three less than pi: π-3 = 0.14159...
 
  • #34
but how the length .142 is exact??
 
  • #35
means .142...
 
  • #36
akashpandey said:
but how the length .142 is exact??

How isn't it?
 
  • #37
akashpandey said:
but how the length .142 is exact??

Drakkith said:
How isn't it?

To clarify, I'm asking so that I understand your thinking and level of knowledge on this.
 
  • #38
akashpandey said:
https://www.physicsforums.com/attac...1/?temp_hash=586afacbbfb47e99be368397d4138bd7.
can somebody explain me the measurement of last part of the circle i.e .3142 and so on.
means what is the exact measurement of that last part?
All I see in your picture is a circle with the diameter marked (but numerical value given) and a small section marked off, labeled ".14159...". There does not seem to be any reason given for that section to be marked or any explanation of what that means. I might guess that the ".14159", simply because it is the first 5 decimal places \pi, is supposed to be the decimal part of \pi, 3- \pi but I have no idea what it is really intended to show
 
  • #39
akashpandey said:
but how the length .142 is exact??
0.14159 (and so on) is a definite number between 0 and 1. Just because there's a decimal, it doesn't mean that it's not "real" or that it's "infinite" like you've said along this thread.
 

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