How to Calculate 1.23 ± 0.03 + Pi?

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SUMMARY

The calculation of 1.23 ± 0.03 + π involves understanding error propagation in addition. The established formula for error in addition is Error = √(error in x² + error in y²). In this case, since π is a known constant with no associated error, the overall error remains as ±0.03. Therefore, the final result is 1.23 + π ± 0.03, confirming that the error in π is effectively zero.

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Homework Statement


Hello, I'm doing an error analysis problem and I'm not sure how to compute this.

What is 1.23 +/- 0.03 + pi




Homework Equations



I know the equation for the error of two additions. Error = sqrt of ( error in x ^2 + error in y ^ 2 )

The Attempt at a Solution


But I'm not sure if there's error in pi, so basically i just did 1.23 + pi + / - 0.03

i am not sure if this is right can someone clarify
 
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It really depends on the context, but you should be right. Essentially what you are saying is that the error in pi is zero, since pi is a known constant. So the adding in quadrature formula would give you just the original error.
 

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