Many in positions of authority believe they should not have to apologize about anything - likely you know someone who fits that description. From my conversations with those individuals, it seems they believe an apology is a sign of weakness - a characteristic they believe will make their followers disappear. In my experience, the opposite is true. So, how do you go about apologizing as a leader? First, accept responsibility for the offending behavior - own it, don't defend it.
Second, express regret for the consequences - it's good to feel bad about hurting someone.
Third, repair any damage - consistent, appropriate action on your part will do the trick.
It's never too late to apologize.