(a)[5]
On an Argand diagram, shade the set of points representing complex numbers $z$ that satisfy both $|z - 4 - 3i| \leq 2$ and $\arg(z - 2 - i) \geq \frac{1}{3}\pi$.
(b)[2]
Calculate the greatest value of $\arg z$ for points in this region.
Mathematics 9709 · AS & A Level · Complex numbers