8. A complex number \(z\) satisfies the equation
$$| z - 5 - 12 i | = 3$$
- Describe in geometrical terms with the aid of a sketch, the locus of the point which represents \(z\) in the A rgand diagram.
For points on this locus, find
- the maximum and minimum values for \(| z |\),
- the maximum and minimum values for arg \(z\), giving your answers in radians to 2 decimal places.