In the diagram, $$\(X\)$$ and $$\(Y\)$$ are points on the line $$\(A B\)$$ such that $$\(B X=9 \mathrm{~cm}\)$$ and $$\(A Y=11 \mathrm{~cm}\)$$. Arc $$\(B C\)$$ is part of a circle with centre $$\(X\)$$ and radius $$\(9 \mathrm{~cm}\)$$, where $$\(C X\)$$ is perpendicular to $$\(A B\)$$. Arc $$\(A C\)$$ is part of a circle with centre $$\(Y\)$$ and radius $$\(11 \mathrm{~cm}\)$$. Show that angle $$\(X Y C=0.9582\)$$ radians, correct to 4 significant figures. .................................................................................................................................................... .................................................................................................................................................... .................................................................................................................................................... .................................................................................................................................................... .................................................................................................................................................... .................................................................................................................................................... .................................................................................................................................................... .................................................................................................................................................... .................................................................................................................................................... .................................................................................................................................................... .................................................................................................................................................... .................................................................................................................................................... .................................................................................................................................................... .................................................................................................................................................... ....................................................................................................................................................

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