Question 7 - A-Level Maths

Sketch on a single Argand diagram the loci given by
(a) $| z | = 2$,
(b) $\quad \arg ( z - 3 - \mathrm { i } ) = \pi$.
Indicate, by shading, the region of the Argand diagram for which $$| z | \leqslant 2 \text { and } 0 \leqslant \arg ( z - 3 - i ) \leqslant \pi .$$