In the following figure (not to scale ),...

In the following figure (not to scale ), two chords XY and PQ are intersecting at the point A . The line segment joining X and P is a diameter of the circle , `angleXAP=120^(@)andXU=PQ=18cm` . Find the distance between the centre of the circle and the point A .

3 cm

4 cm

8 cm

6 cm

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