The point A lies on the circle C, with centre O and radius r. The circle C₂ wit centre A and radius r√3 intersects C₁ at the points B and C, as shown in the diagram. A r√√3 r r√3 B C C₁ (i) Using the cosine rule (or otherwise) find ZBAO. (ii) Find the area of the sector BAC of C₂. (iii) Find the area of the sector BOC of C₁ . (iv) Hence (or otherwise) find the area of the shaded region.

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