The diagram shows two circles such that the region $$\(\mathbf{R}\)$$, shown shaded in the diagram, is the region common to both circles. Diagram NOT accurately drawn One of the circles has centre $$\(O\)$$ and radius $$\(5 \mathrm{~cm}\)$$. The other circle has centre $$\(P\)$$ and radius $$\(4 \mathrm{~cm}\)$$. Angle $$\(A O B=50^{\circ}\)$$ Calculate the area of region $$\(\mathbf{R}\)$$. Give your answer correct to 3 significant figures. $$\(\mathrm{cm}^{2}\)$$

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