1. The set of points $A$ is defined by

$A=\{z:0\leqargz\leq\frac{ \pi }{3}\}\cap\{z:|z-4-3i|\leq5\}$

(i) Show, by shading on your Argand diagram, the set of points $A$.

(ii) Find the exact area of the region defined by $A$, giving your answer in simplest form.