|Born||21 October 1969
|Height||6'4" (193 cm)|
|Weight||182 lbs (83 kg)|
|Highest ranking||No. 160 (7 Nov 1988)|
|Grand Slam Singles results|
|Australian Open||2R (1987)|
|Highest ranking||No. 192 (31 Oct 1988)|
|Grand Slam Doubles results|
|Australian Open||2R (1988, 1990)|
|Grand Slam Mixed Doubles results|
|Australian Open||QF (1987)|
Barr was the boy's singles champion at the 1985 Australian Open, beating Stephen Furlong in the final. Also that year, Barr was a member of the Australian team which won the World Youth Cup, a junior version of the Davis Cup. He was twice a runner-up in the boy's doubles at Grand Slams, in the 1986 Wimbledon Championships with Hubert Karrasch and partnering Bryan Roe in the 1987 Australian Open. Barr and Roe were defeated in the final by the Jason Stoltenberg/Todd Woodbridge combination and it was also Woodbridge that beat him in the singles semi-finals.
In the 1987 Australian Open, Barr also participated in the men's draw and beat countryman Darren Cahill in the first round (his only Grand Slam singles win), before being knocked out of the tournament by Tim Wilkison.[note 1] He also made the mixed doubles quarter-finals, partnering Michelle Jaggard. The Australian twice made the second round of the men's doubles at his home event, with Kim Warwick in 1988 and Neil Borwick two years later.
He had wins over three top-50 players on the Grand Prix tennis circuit. In 1987 he eliminated sixth seed Wally Masur from the Swan Premium Open in Sydney and the following year once again defeated Cahill, now 25 in the world, in the Queensland Open. His other big win came when he beat Yugoslavian Slobodan Živojinović en route to a quarter-final appearance in the 1989 Queensland Open. He only narrowly missed out on a spot in the semi-finals, losing his quarter-final match to Nicklas Kroon in a third set tiebreak. Another notable performance was at the 1988 Stella Artois Championships (Queen's), where he won a set against Stefan Edberg. The Swede would go on to win Wimbledon that year.
Challenger titles 
Singles: (1) 
|No.||Year||Tournament||Surface||Opponent in the final||Score in the final|
|1.||1988||Nugra Santana, Indonesia||Hard||Steve Guy||1–6, 7–5, 6–3|
- The junior's event didn't begin until the second week, so Barr was able to compete in both draws