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Roger, if you know trigonometry, you can compute the radius of a curve knowing what the curvature is in degrees. In the tight curve in the previous example, the chord and both legs of the triangle were 100 feet. <br />But if we didn't know the radius, but we knew the curvature was 60 degrees, we could bisect the isosceles triangle (acutally an equilateral one in the example) making two right triangles with short sides of 50 feet, look up the sine of 30 degrees (0.500), and divide the 50 feet (half the chord) by the 0.500 to get an answer of 100 feet. <br />For curvatures less than 5 degrees, you don't need to divide everything by two: just divide the 100 feet by the sine of the angle. You'll only be off inches and unless you need accuracy better than plus or minus .01 percent, you're home free.
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