The victor stunned Kyrgios, who gasped after seeing Federer return the ball, mouthing the words "oh my God".
Federer's tenacity reaped rewards with the second seed stealing the opening set with a backhand return pass on a rare Kyrgios serving lapse.
When she ripped a backhand victor to claim the third set's opening game on Sunday, Williams let out her loudest shout of the day, leaning forward and rocking both arms.
Unfortunately he kept his word for only half the match and it was not until Federer rounded off a 6-4 6-1 7-5 win with a concluding ace down the middle that Kyrgios offered him a respectful handshake.
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China's growing clout in Africa is also drawing criticism that more African countries are getting caught in a Chinese debt trap. This is the third such summit; the first was in Beijing in 2006 and the second was held in South Africa three years ago.
"Almost unreal", said the 23-year-old who admired the bit of racket wizardry with eyes wide open and mouth agape.
While the 37-year-old Federer has mined the most out of his vast skill to capture a record 20 Grand Slam titles, including five U.S. Opens, Kyrgios remains one of the sport's great enigmas, widely viewed as one of tennis's great talents and biggest underachievers. And one wrote: "I love Kyrgios' face when Federer makes the shot".
"If I can be any sort of inspiration for guys coming up on the tour, that would be great, you know, in whatever shape and form that is". "He's the ultimate role model to anyone who wants to play".
The victor of 98 singles titles schooled Kyrgios, showing the brash young player that it takes more than cocksure attitude and a big serve to win a Grand Slam event. Zverev still has never made the fourth round in visits to NY after being beaten 6-7 (1), 6-4, 6-1, 6-3 by Philipp Kohlschreiber in an all-German matchup, while Joao Sousa defeated Pouille 7-6 (5), 4-6, 7-6 (4), 7-6 (5).
American tennis legend John McEnroe again led the public criticism of Kyrgios' performance - saying he simply hopes the Australian is able to learn from the lesson Federer handed out.
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But Biden, who is considering challenging Trump in 2020, made what some saw as a veiled reference to the president. Capitol rotunda in Washington , Friday, Aug. 31, 2018. "I'm a Democrat.
Federer will fight for a quarter-final berth against another Australian, John Millman, who reached his first Grand Slam fourth round with a 6-4, 4-6, 6-1, 6-3 victory over Mikhail Kukushkin of Kazakhstan.
Federer, of course, is in search of his 20th Grand Slam singles title.
Kyrgios was, predictably, stunned but also in awe.
"He's the best that's played the game, in my opinion", said Millman, who practised with Federer ahead of the grass-court portion of this season.
OurnumberoneRF: Touch of Roger Federer, I mean GENIUS. "So that's why I won, because I believed I have a chance", the No. 8-seeded Pliskova said.
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Senegal worldwide Mane has been impressive for the Reds so far this season scoring three times in their first three matches in the 2018-19 campaign.
This will be Thiem's first quarterfinal at a major other than the French Open and his first match against Nadal on a surface other than red clay. All the pressure was off him. "When he gets in front, there's not much you can do".