I have a problem where I know the length of 2 arcs of concentric circles (which are R and r) and I also know the length between the 2 circles which is l in my drawing. Any idea how I can find the radius of any of the circles?
2026-05-14 16:52:06.1778777526
Calculate the radius knowing arcs' length
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let the length of the bigger arc be $S$ and the smaller arc $s.$ you have the following relations $$S = (r+1)\theta, s = r\theta $$ that gives you $\theta = S - s$ and $r = \dfrac{s}{S-s}.$