Is there any formal way to get s list of my account's meeting(s) that are currently on air?

[Bort]

Business accounts have access to the Dashboard, which does show all active meetings hosted by your account. You can read more about that feature here: https://support.zoom.us/hc/en-us/articles/360039017432-Dashboard-for-meetings-and-webinars

Hope that helps and please make sure to mark the solution as accepted if this information is what you needed.