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This question already has an answer here:

Sorry but I cant figure this out, Someone gave me some help on here yesterday but they didn't show their working so I could not redo what they did when my equation changed.

Can someone please help me solve for X and show me the way that you do this please.

S=360/(arccos(X/R)*2)

Thanks to anyone for any help they can give.

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marked as duplicate by Dr. belisarius, Karsten 7., bbgodfrey, Yves Klett, Jens Mar 6 '15 at 19:09

This question has been asked before and already has an answer. If those answers do not fully address your question, please ask a new question.

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    $\begingroup$ This site is for questions about Mathematica(TM), which is a software product. If you have questions about mathematics please post them in math.stackexchange.com $\endgroup$ – Dr. belisarius Mar 6 '15 at 15:11
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eq = S == 360/(ArcCos[X/R]*2);Reduce[eq, X, Reals]

Out:R != 0 && S >= 180/[Pi] && X == R Cos[180/S]

or:Solve[eq, X, Reals]

{{X -> ConditionalExpression[R Cos[180/S], S >= 180/[Pi]]}}

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