The length and cross sectional area of a gas pipe are measured and tabulated in Table Q$2.$ The actual length and area of the beam are $5\mathrm{.}40ft$ and $2\mathrm{.}00i{n}^2,$ respectively. $($Given $1$ in $=0\mathrm{.}0254m$;$1it=0\mathrm{.}3048m)$

a$)$ Analyse the errors in terms precision and accuracy found in the measurements. Present the error analysis based on average values in SI unit and round up answers up to FOUR $(4)$ significant digits.

Table Q$2$

$\backslash$table$[[$Length$,L,($ii$),$Cross sectional area, A$,($in$\text{'})],[3\mathrm{.}01,1\mathrm{.}98],[4\mathrm{.}32,2\mathrm{.}03],[4\mathrm{.}98,1\mathrm{.}89],[2\mathrm{.}16,2\mathrm{.}05],[3\mathrm{.}28,1\mathrm{.}96]]$

b$)$ Diagnose the reasons of errors may occur associated with measurement tools and ways to minimize the errors.