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Math Help - geometry question

  1. #1
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    geometry question

    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 \frac{1}{2}\sqrt{65}m)
    ii) What will be the closest that A comes to O?(the answer is 25m)
    iii) What will be the furthest that A can be from O?(the answer is 6.5m)
    Attached Thumbnails Attached Thumbnails geometry question-circle-q.bmp  
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  2. #2
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    Quote Originally Posted by requal View Post
    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 \frac{1}{2}\sqrt{65}m)
    ii) What will be the closest that A comes to O?(the answer is 25m)
    iii) What will be the furthest that A can be from O?(the answer is 6.5m)
    I hope this reply doesn't come too late.

    I've modified your sketch a little bit. Unfortunately I have messed up the order of questions.

    to #i) Use Pythagorean theorem.

    to #ii) Calculate a difference. (By the way: The given answer is wrong)

    to #iii) Calculate a sum.
    Attached Thumbnails Attached Thumbnails geometry question-dist_ao.png  
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