The curve C has polar equation r= 3 + 2 cos , for - <

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The curve C has polar equation r= 3 + 2 cos θ, for -π < θ ≤ π. The straight line I has polar equation r cos θ = 2.

Sketch both C and I on a single diagram.

Find the polar coordinates of the points of intersection of C and I. The region R is enclosed by C and 1, and contains the pole. Find the area of R.

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