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Math Help - Point along a circle

  1. #1
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    Point along a circle

    I am trying to find a point along a circle (see the picture).

    R - is the radius of the circle (known)
    C - is the length from the edge of the circle to the centre (known)
    d - is a known distance from the centre, along C

    I need to know the point along the dish arc distance "d" away from the centre at a right angle to C


    Any help?

    thanks
    Attached Thumbnails Attached Thumbnails Point along a circle-circle.jpg  
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  2. #2
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    If I'm reading the question properly, the point that you're looking for is independent of C isn't it ? You're simply off-setting from a vertical diameter by a distance d.
    Call your point P and run a horizontal to Q on the vertical diameter. Then, if the centre of the circle is O, OQ^{2}+QP^{2}=OP^{2}.
    That is, OQ^{2}=R^{2}-d^{2}.
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