The diagram shows a sector $$\(O X Y\)$$ of a circle with centre $$\(O\)$$ and radius $$\(9.5 \mathrm{~cm}\)$$. The sector angle is $$\(53^{\circ}\)$$. $$\(A\)$$ lies on $$\(O X, B\)$$ lies on $$\(O Y\)$$ and $$\(O A=O B\)$$. The area of triangle $$\(O A B\)$$ is $$\(\frac{1}{3}\)$$ of the area of sector $$\(O X Y\)$$. Calculate $$\(O A\)$$. $$\(OA=\)$$ ....................................... $$\(\mathrm{cm}\)$$

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