Question 2 - A-Level Maths

On an Argand diagram, shade the region whose points represent complex numbers \(z\) satisfying the inequalities \(- \frac { 1 } { 3 } \pi \leqslant \arg ( z - 1 - 2 \mathrm { i } ) \leqslant \frac { 1 } { 3 } \pi\) and \(\operatorname { Re } z \leqslant 3\).
Calculate the least value of \(\arg z\) for points in the region from (a). Give your answer in radians correct to 3 decimal places.