A right-angled triangle `XYZ` is cut out from a semicircle with centre `O`. The length of the diameter `XZ` is 16 cm and `angle YXZ` = 30°, as shown on the diagram.
- Find the length of `XY` in centimetres, correct to two decimal places. (2 marks)
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- Hence, find the area of the shaded region in square centimetres, correct to one decimal place. (3 marks)
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