The curve C has polar equation \(r = 3 + 2 \sin \theta\), for \(-\pi < \theta \leq \pi\).

(a) The diagram shows part of C. Sketch the rest of C on the diagram.

The straight line l has polar equation \(r \sin \theta = 2\).

(b) Add l to the diagram in part (a) and find the polar coordinates of the points of intersection of C and l.

(c) The region R is enclosed by C and l, and contains the pole. Find the area of R, giving your answer in exact form.