8 The loci \(C _ { 1 }\) and \(C _ { 2 }\) are given by \(| z - 3 | = 3\) and arg \(( z - 1 ) = \frac { 1 } { 4 } \pi\) respectively.
- Sketch, on a single Argand diagram, the loci \(C _ { 1 }\) and \(C _ { 2 }\).
- Indicate, by shading, the region of the Argand diagram for which
$$| z - 3 | \leqslant 3 \text { and } 0 \leqslant \arg ( z - 1 ) \leqslant \frac { 1 } { 4 } \pi$$