| Exam Board | CAIE |
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| Module | P1 (Pure Mathematics 1) |
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| Year | 2004 |
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| Session | November |
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| Topic | Area Under & Between Curves |
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3
In the diagram, \(A C\) is an arc of a circle, centre \(O\) and radius 6 cm . The line \(B C\) is perpendicular to \(O C\) and \(O A B\) is a straight line. Angle \(A O C = \frac { 1 } { 3 } \pi\) radians. Find the area of the shaded region, giving your answer in terms of \(\pi\) and \(\sqrt { } 3\).