Radwanska, ranked fourth in the world and seeking her third title of 2013 after triumphs in Auckland and Sydney, had to battle to subdue her 40th-ranked opponent in two hours and 14 minutes.
Radwanska next faces fourth-seeded American Jamie Hampton, a 6-4, 6-3 winner over Russian Vera Dushevina.
J. Jayalalithaa passes away: Her life in pictures
Photos: Shah Rukh Khan, Deepika Padukone, Alia Bhatt at an awards show
Photos: Big B, Iulia Vantur at Himesh Reshammiya's album launch
Photos: Aamir Khan with 'Dangal' actresses at fashion show
Spotted: Twinkle Khanna, Shriya Saran at an event in Mumbai