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- Thread starter Ryank
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berkeman

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What is the context of the question? Could you post a sketch? Thanks.

- #3

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There doesn't really need to be a context. You know the length of a chord on the circle and the length of the arc segment between them. I did some digging and did finally manage to find two solutions. One uses Newton's approximation method and the other uses and taylor expansion:

http://norman.rasmussen.co.za/24/radius-from-arc-and-chord-length/

http://www.mathforum.com/dr.math/faq/faq.circle.segment.html#1 [Broken]

http://norman.rasmussen.co.za/24/radius-from-arc-and-chord-length/

http://www.mathforum.com/dr.math/faq/faq.circle.segment.html#1 [Broken]

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- #4

hotvette

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Looks like case 1 from Dr. Math that requires Newton's Method is the most straightforward.

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