6 The curve \(C\) has polar equation \(r = 2 \cos \theta ( 1 + \sin \theta )\), for \(0 \leqslant \theta \leqslant \frac { 1 } { 2 } \pi\).
- Find the polar coordinates of the point on \(C\) that is furthest from the pole.
- Sketch C.
- Find the area of the region bounded by \(C\) and the initial line, giving your answer in exact form.