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November 18th, 2016, 06:56 AM   #1
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Finding Radius of an arc given sections of diameter


I have colleagues sending me data 4-6 times a day and I'm trying to determine if there is a simpler method than the one I've been using (drawing in autocad and dimensioning the drawing) or mathematical formula possibly. It's been a long long time since I was in a math class, figured I'd ask the pros.

I receive measurements as pictured with left, center and right leg dimensions along with the width of the section. I've been drawing this in CAD and joining the legs with an arc, but other users are not versed in doing this and I don't think I'll be able to train them since I'm not very knowledgeable beyond this myself.

Thanks for any help, let me know if further information is necessary.

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November 18th, 2016, 12:22 PM   #2
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There are no labels on the diagrams and the diagrams are not numbered, so it's difficult to refer to them or the details within them. It's not clear how the diagrams relate to each other.

If a circle of radius r has a minor segment of height h and width 2d,
r² = d² + (r - h)² (by Pythagoras), so r = (d² + h²)/(2h).
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