Quick Question on Uncertainty of PI

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    Pi Uncertainty
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SUMMARY

The discussion focuses on the calculation of the uncertainty of π (pi) in a homework problem. The value of π is given as 3.18 ± 0.04, which is derived from the relative error of 0.012. The absolute error is calculated by multiplying the relative error by π, resulting in an approximate value of 0.04. This method of determining uncertainty is crucial for accurate scientific measurements.

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Homework Statement


http://img413.imageshack.us/img413/226/8m1celf4.gif

On b, why is the pi exp 3.18 +- 0.04 and not .012?

Homework Equations





The Attempt at a Solution

 
Last edited by a moderator:
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The 0.012 arises from [itex]\Delta\pi/\pi = 0.012[/itex]. In other words, it is a relative error. Clearing the fraction gves the absolute error: [itex]\Delta\pi = 0.012\pi\approx0.04[/itex]
 

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