Diagram NOT accurately drawn $$\(A, B, C\)$$ and $$\(D\)$$ are points on a circle with centre $$\(O\)$$ and radius $$\(12 \mathrm{~cm}\)$$. The area of the sector $$\(O A D C\)$$ of the circle is $$\(100 \mathrm{~cm}^{2}\)$$ Work out the size of angle $$\(A B C\)$$. Give your answer correct to 3 significant figures.

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