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The Polish pro had a shaky start in the first set by losing her second service game, but she responded with a double break to move on top.
Larcher de Brito came close to getting a break back, but Radwanska was able to hold and take her opponent's serve after a battling game, which included five set-point opportunities.
Larcher de Brito tried to launch a comeback in Radwanska's opening service game, which was pushed back to deuce three times, but the Polish star was able to hold in the second set.
Radwanska unleashed a blow to her opponent by grabbing another double break, and breezed her way through to the next round without a blemish on her record for the second set.