Is the word roda the same in Brazilian and European Portuguese?

No.

While the meaning, spelling, and grammar of "roda" are identical, there are differences in typical usage and pronunciation. In Brazilian Portuguese, "roda" is frequently used to describe social gatherings or groups of people (e.g., roda de samba or roda de amigos), even if they are not in a strict physical circle. In Portugal, "roda" is used more literally for physical objects (like a wheel) or a strict circular arrangement, with people often preferring the word círculo or grupo for social contexts. Additionally, the pronunciation differs: Brazilian Portuguese typically uses a more open "o" [ɔ], whereas Continental Portuguese uses a more closed "o" [o] and a reduced, almost silent final "a" [ɐ].

Brazilian Portuguese

1. A roda do carro furou. (The car tire went flat.)
2. Vamos fazer uma roda de samba hoje à noite. (Let's have a samba circle tonight.)
3. As crianças sentaram em roda para brincar. (The children sat in a circle to play.)
4. A roda de conversa foi muito produtiva. (The discussion group was very productive.)
5. A roda da fortuna é imprevisível. (The wheel of fortune is unpredictable.)

Continental Portuguese

1. A roda do carro partiu-se. (The car wheel broke.)
2. Vamos formar um grupo de música hoje à noite. (Let's form a music group tonight.)
3. As crianças sentaram-se em círculo para brincar. (The children sat in a circle to play.)
4. A roda de conversa foi muito produtiva. (The discussion group was very productive.)
5. A roda da fortuna é imprevisível. (The wheel of fortune is unpredictable.)