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Thread: Calculating the radius of a circular segment

  1. #11
    Supporting Member Duke_of_URL's Avatar
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    There's a geometric method of solving that problem with a compass, assuming you have a 2-template of the segment:

    Given:

    Calculating the radius of a circular segment-capture0.png

    1) Using a compass create a circle at "A" using as its radius the distance AP:

    Calculating the radius of a circular segment-capture1.png

    2) Now using that same radius, make corresponding circles at points B and P to locate the intersections.

    Calculating the radius of a circular segment-capture2.png

    3) Now using a ruler draw a line through the intersection points of each pair of circles. The intersection of those three lines will be the greater circle's center and the radius follows, as shown.

    Calculating the radius of a circular segment-capture3.png
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  2. #12
    Supporting Member mklotz's Avatar
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    Yes, that will work but using the formula will be a lot faster and requires no scaling, no template and no drafting.

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