The curve C has polar equation `r = 3 + 2 cos θ`, for `-π < θ < π`. The straight line l has polar equation `r cos θ = 2`. Sketch both C and l on a single diagram. [3] Find the polar coordinates of the points of intersection of C and l. [4] The region R is enclosed by C and l, and contains the pole. Find the area of R. [6]
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