The curves \(C_{1}\) and \(C_{2}\) have polar equations
\(r=\theta+2 \quad \text { and } \quad r=\theta^{2}\)
respectively, where \(0 \leqslant \theta \leqslant \pi\).
(i) Find the polar coordinates of the point of intersection of \(C_{1}\) and \(C_{2}\).

(ii) Sketch \(C_{1}\) and \(C_{2}\) on the same diagram.

(iii) Find the area bounded by \(C_{1}, C_{2}\) and the line \(\theta=0\).