Hi. Can someone please help me on how to perform error analysis on the formulas: r = 1/C, with an error on C.

It depends on what you mean by error analsis.

Look at the differential..

dr=dc*1/c^2
but 1/r=c so

dr/r=dc*1/c^2 * c/1

dr/r=dc/c

so if there is a ten percent error in c, then the error in r is ten percent.