Radwanska started the first set brightly and used an impressive array of shots to stun Goerges and take it 6-1.
Goerges looked as though she was unable to recover and the second set started similarly with the Radwanska breaking serve early, racing into a 3-0 lead.
The German seemed to regain her composure and broke serve herself, however the potential comeback was soon quashed when Radwanska did the exact same in the game. Radwanska saw out the match and took the set 6-1.
She will now play Victoria Azarenka in the next round.