| Exam Board | CAIE |
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| Module | FP1 (Further Pure Mathematics 1) |
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| Year | 2008 |
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| Session | November |
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| Topic | Polar coordinates |
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3 The curve \(C\) has polar equation
$$r = \left( \frac { 1 } { 2 } \pi - \theta \right) ^ { 2 } ,$$
where \(0 \leqslant \theta \leqslant \frac { 1 } { 2 } \pi\). Draw a sketch of \(C\).
Find the area of the region bounded by \(C\) and the initial line, leaving your answer in terms of \(\pi\).