$$\(20 A, B\)$$ and $$\(C\)$$ are points on a circle with centre $$\(O\)$$. Diagram NOT accurately drawn Angle $$\(A B C=75^{\circ}\)$$ The area of the shaded segment is $$\(200 \mathrm{~cm}^{2}\)$$ Calculate the radius of the circle. Give your answer correct to 3 significant figures. cm

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