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**requal** Hi I need help with this question(View the diagram attached!)

The diagram shows the point P on the rim of a circular wheel, centre O and of radius 2m. A 4.5m length of steel PA joins P to a point A which is free to move along the horizontal groove OQ, as the wheel rotates about its fixed centre O.

i) How far will A be from the centre of the circle when P is vertically above O? (the answer is $\displaystyle \frac{1}{2}\sqrt{65}m$)

ii) What will be the closest that A comes to O?(the answer is $\displaystyle 25m$)

iii) What will be the furthest that A can be from O?(the answer is $\displaystyle 6.5m$)