No, Ringworld and Rama are not related to one another.
Rendezvous with Rama was written by Arthur C. Clarke. (Later books in the series were written by Gentry Lee.) Rama was a 30 mile long alien spacecraft that flew through the solar system.
Ringworld and its sequels were written by Larry Niven. Ringworld was a megastructure orbiting another star, hundreds of millions of miles in diameter, somewhat larger than Rama

Making a model that large which still has good surface detail is, shall we say, difficult, and thus a challenge.