16 The curve \(C\) has polar equation \(r = 2 + \tan \theta\)
The curve \(C\) meets the line \(\theta = \frac { \pi } { 4 }\) at the point \(A\)
The point \(B\) has polar coordinates \(( 4,0 )\)
The diagram shows part of the curve \(C\), and the points \(A\) and \(B\)
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16
- Show that the area of triangle \(O A B\) is \(3 \sqrt { 2 }\) units.
16 - Find the area of the shaded region.
Give your answer in an exact form.