Question

Please, I beg you.

Answer 1

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,  $\Delta x = | \text{True value } - \text{ Approximate value} | \\ \\ \Delta x =|3.14156-3.141|\\ \\ \Delta x =0.00056$

Relative error is given by

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

The percentage error is given by

$\text{Relative error } \times 100\\ \\ 0.000178\times 100 \\ =0.0178 \%$