Electing to bowl after winning the toss, the Irish kept it tight for most part of the match and had the UAE tied up in knots before the 35-year-old Anwar's (106) maiden ODI ton, combined with number eight Amjad Javed's lively 35-ball 42 helped them post a rather big total.
The UAE, who lost their lung-opener to Zimbabwe and are lying second from bottom on the points table, were off to a steady start with Amjad Ali (45) and Andri Berenger (13) putting on a 49-run opening stand.
Anwar, however, was the most outstanding performer of the day with a craftily-paced knock, which rescued his team and also booked his place in the record books.
The veteran, who has modelled his technique on Indian legend Rahul Dravid, had two ODI fifties under his belt before today's eye-catching effort.
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Anwar's knock was studded with 10 fours and a six and bettered the previous UAE best of 85. His 83-ball stay on the crease was ended by Max Sorenson in the 49th over when he induced an edge from the batsman, which was safely caught by wicketkeeper Gary Wilson.
Among the bowlers, Sorenson (2/60), Alex Cusack (2/54), Paul Stirling (2/27) and Kevin O'Brien (2/61) shared the spoils.