The diagram shows a shaded shape $$\(A B C D\)$$ made from a semicircle $$\(A B C\)$$ and a right-angled triangle $$\(A C D\)$$. Diagram NOT accurately drawn $$\(A C\)$$ is the diameter of the semicircle $$\(A B C\)$$. Work out the perimeter of the shaded shape. Give your answer correct to 3 significant figures. $$\(\mathrm{cm}\)$$

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