The diagram shows a circle with centre $$\(O\)$$ Diagram NOT accurately drawn $$\(A, B\)$$ and $$\(C\)$$ are points on the circle so that the length of the $$\(\operatorname{arc} A B C\)$$ is $$\(5 \mathrm{~cm}\)$$. Given that angle $$\(A O C=55^{\circ}\)$$ work out the area of the circle. Give your answer correct to one decimal place. $$\(\mathrm{cm}^{2}\)$$

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