CHAPEL HILL, N.C. - Bobby Frasor found himself 30 feet from the basket with time running out in the first half. No one on his team — most of all Frasor — seemed surprised when what looked like a desperation heave rattled in.
‘‘I’m a shooter, I can make that shot,’’ the freshman point guard said with a smile.
Armed with that bit of momentum, North Carolina cruised.
Tyler Hansbrough had 21 points and 11 rebounds, Wes Miller added 14 points on his 23rd birthday and the Tar Heels ruined Arizona’s first trip to Chapel Hill with an 86-69 victory Saturday.
Reyshawn Terry and Danny Green each scored 13 points while Frasor added nine assists with no turnovers for the Tar Heels (12-5), who won for just the second time in the past five games. They shot a season-high 57 percent from the field to tie the alltime series with the Wildcats 3-3.
Each of the previous five came at neutral sites, including the final game of Dean Smith’s career in the 1997 NCAA tournament. That was the most recent meeting, and North Carolina makes a return visit to Arizona next season.
‘‘I think it was huge,’’ Hansbrough said. ‘‘Arizona’s usually a powerhouse of basketball, and it was a big win for us.’’
Mustafa Shakur led the Wildcats (13-7) with 18 points, and teammate Marcus Williams scored 17 despite a stomach virus. Arizona had a three-game winning streak snapped in its most lopsided loss of the season.
‘‘I think Carolina did a tremendous job in terms of the effort they put in,’’ coach Lute Olson said. ‘‘They put it in right from the start and they kept it going.’’
Arizona’s struggles began in the waning seconds of the first half, when holding for the final shot and trailing by five points. Hassan Adams missed badly and the ball went out of bounds to the Tar Heels with less than 2 seconds left.
North Carolina coach Roy Williams called a timeout, and he had David Noel throw the inbounds pass. It connected with Frasor, and his shot went through to make it 39-31 at the break.
And when Hansbrough opened the final 20 minutes with an easy layup, the margin was 10.
‘‘That shot they made at the end, I don’t know that’s quite in his range, but he showed how he can shoot on that one,’’ Olson said. ‘‘But that momentum had been taken away from us with a couple of mistakes earlier.’’
The lead grew from there, with nearly everyone contributing.
‘‘Everyone’s starting to play well together,’’ Frasor said. ‘‘We’re getting to know each other’s tendencies a little better. Even when we were losing, no one was pointing fingers, no one was getting angry. We all stayed positive with each other and just went out there and played.’’
Perhaps just as important was Frasor’s defense on Adams, who finished 6-for-14 from the field for 12 points for the Wildcats.