midfielder Aaron Ramsey, who has been in a rich vein of goalscoring form this season, both missing the Newcastle match with injury.
The duo's absence was an obvious explanation for the lack of chances created by the visitors, who came close to conceding just before halftime through Moussa Sissoko and then Mathieu Debuchy.
Arsenal F.C. controlled the game at the start of the second half with Giroud's header breaking the deadlock, but the striker wasted a glorious chances to double the advantage before the visitors opted to retreat into defensive mode.
Wenger added to that by making protective substitutions in the final stages that left Arsenal with a back five happy to sit on the edge of their area and clear the barrage of balls as Newcastle dictated play.
For all the possession, though, the home side struggled to find a way through the mass of bodies.
Loic Remy providing the only real moment of panic when Arsenal goalkeeper Wojciech Szczesny cannoned a clearance against his head but the ball rebounded past the post.
"For years, we were younger (and less able) to resist this kind of pressure but we have always been up there at the top," Wenger said.
"If you analyse well our results we have always been up there. Last year in this period, we were out of the title race but 2013 we have been quite consistent," he said before turning to this seasons' chances of a 14th league championship.
"Look we believe in ourselves and we are determined to give our best absolutely and to turn back on this season at the end and think we have given our best. I hope it will be enough of course but it's a long way to go - it's too early to say that."