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Math Help - Vertical distance between 2 points on a circle

  1. #1
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    Smile Vertical distance between 2 points on a circle

    Hi Guys,

    I've got a (to me anyway) challenging problem, which I hope you could give me a hand with.

    I've calculated the radius of curvature of a circle (200m) and thus the curvature (1 / 200). I need to find the vertical distance (y in diagram) and the horizontal distance (x in diagram) between 2 points A and B. I also know that the arc length of AB is 2x10-3.

    Any ideas?
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  2. #2
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    Curvature

    Quote Originally Posted by geomnew View Post
    Hi Guys,

    I've got a (to me anyway) challenging problem, which I hope you could give me a hand with.

    I've calculated the radius of curvature of a circle (200m) and thus the curvature (1 / 200). I need to find the vertical distance (y in diagram) and the horizontal distance (x in diagram) between 2 points A and B. I also know that the arc length of AB is 2x10-3.

    Any ideas?
    I'm afraid this is not possible unless you know the direction of the curve in the region of these points -its gradient, if you will. Just knowing the curvature at this point is not sufficient - for this does not fix the directions of x and y.

    Grandad
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