4 The curves \(C _ { 1 }\) and \(C _ { 2 }\) have polar equations
$$r = \theta + 2 \quad \text { and } \quad r = \theta ^ { 2 }$$
respectively, where \(0 \leqslant \theta \leqslant \pi\).
- Find the polar coordinates of the point of intersection of \(C _ { 1 }\) and \(C _ { 2 }\).
- Sketch \(C _ { 1 }\) and \(C _ { 2 }\) on the same diagram.
- Find the area bounded by \(C _ { 1 } , C _ { 2 }\) and the line \(\theta = 0\).