Denmark's Caroline Wozniacki, Azarenka and Russia's Nadia Petrova, ranked 8-10, also received first-round byes.
Sara Errani and Roberta Vinci are due to play doubles against Anastasia Pavlyuchenkova and Nadia Petrova.
Sixth seed Nadia Petrova , of Russia, routed Italian Antonella Serra Zanetti 6-0 6-1.
Priscah Jeptoo of Kenya was the silver medalist, and Tatyana Petrova Arkhipova of Russia was third.
Petrova defeated fourth seed Nicole Vaidisova 6-1 6-2 to reach her seventh final of the season.
Germany's Sabine Lisicki and Russia's Svetlana Kuznetsova were also winners, beating Dominika Cibulkova and Nadia Petrova respectively.
Petrova, who won the race in 2000, clocked a time of 2:25:43, just ahead of Goucher (2:25:53).
Radcliffe finished in two hours, 23 minutes, 56 seconds, nearly two minutes ahead of the 40-year-old Petrova.
Henin, unseeded in the season's first Grand Slam, edged the No. 19 seed Petrova, 7-6 (7-3), 7-5.
Petrova will face Russian compatriot and fifth seed Dinara Safina, who beat Katarina Srebotnik of Slovenia 6-3 6-1.
Meanwhile Anna Kournikova may have to pull out of Thursday's second round match against fellow Russian Nadia Petrova.
Top-seeded Petrova hit seven aces in beating Zheng Jie of China 6-2 6-3 in the third round in Florida.
Third-seed Nadia Petrova also advanced to the last eight after beating Ana Ivanovic, of Serbia and Montenegro, 7-5 6-3.
He was joined on the withdrawal list by Thailand's Paradorn Srichaphan and Russian women Svetlana Kuznetsova and Nadia Petrova.
By the time he reached Knez Petrova, looters were already swarming the boulevard.
She has had great results in the past and played quite well today, and she beat Petrova yesterday too.
Sharapova will play defending champion Nadia Petrova in an all-Russian decider on Sunday.
"She's a tough opponent but I've had two straight, two-set matches that I won and I'm very confident, " said Petrova.
Wozniacki, 19, moves on to the last eight where she will play Nadia Petrova, who beat Aleksandra Wozniak 6-2 6-4.
Among the seeded women to lose were No. 6 Angelique Kerber, No. 11 Nadia Petrova and No. 14 Maria Kirilenko.
They booed when they saw Petrova losing her cool, banging her racquet against the net after losing a big point.
Australian sixth seed Samantha Stosur , the beaten finalist in 2010, breezed past Russian No. 27 Nadia Petrova 6-3 6-3.
Petrova has also been in impressive form, dropping just nine games in three matches on her way to the final.
The Williams sisters also progressed, with Madrid champion Serena next facing Russia's Nadia Petrova in the second round on Wednesday.
Defending champion Petrova closed out her match in style, opening the final game with three of her seven aces in the match.
The winner of that match will play either fifth seed Petrova or last year's losing finalist, 10th seed Flavia Pennetta of Italy.
There was better news for Kleybanova's compatriot Nadia Petrova , who needed 70 minutes to beat home favourite Alicia Molik 6-4 6-1.
Top seed Nadia Petrova then beat Austria's Sybille Bammer 7-6 (7-4) 6-1.
Earlier on Sunday, Kuznetsova was overpowered by fellow Russian Nadia Petrova, who won 6-3 3-6 6-1, having routed Kim Clijsters in the third round.
应用推荐