The coordinates and the error of points $A,B$ are given below:

$x_A=101\mathrm{.}20m+-0\mathrm{.}02m$

$Y_A=203\mathrm{.}45m+-0\mathrm{.}03m$

$x_B=302\mathrm{.}46m+-0\mathrm{.}04m$

$Y_B=402\mathrm{.}15m+-0\mathrm{.}03m$

Calculate the distance AB and the error of it$.$