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By managing to refine a well-known measuring technique, you find a value of pi equal to 3.141. How much absolute error is there in this calculation? Relative Error? Percent Error? (I really need an explanation i know how to do all of these formulas, but my answers keep coming out wrong?? Please, I really need some help. I’m freaking out)

By managing to refine a wellknown measuring technique you find a value of pi equal to 3141 How much absolute error is there in this calculation Relative Error P class=

Respuesta :

We know that the true value for pi is given as 3.14156.

Now, we have been given that the approximate value for pi is 3.141

We know the formula

Absolute error,  [tex]\Delta x = | \text{True value } - \text{ Approximate value} | \\ \\ \Delta x =|3.14156-3.141|\\ \\ \Delta x =0.00056[/tex]

Relative error is given by

[tex]\text{Relative error }= \frac{\Delta x}{\text{true value} }\\ \\ \text{Relative error }=\frac{0.00056}{3.14156} \\ \\ [tex]\text{Relative error }=0.000178[/tex]

The percentage error is given by

[tex]\text{Relative error } \times 100\\   \\   0.000178\times 100   \\   =0.0178 \%[/tex]

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