Select the most appropriate meaning of the given idiom.

Reinventing the wheel

Wasting one’s time for things that have already been satisfactorily done

The most appropriate meaning of the idiom "reinventing the wheel" is wasting one’s time for things that have already been satisfactorily done.

The idiom "reinventing the wheel" is used to describe someone who is trying to do something that has already been done, but in a more complicated or difficult way. It is often used to describe someone who is not being creative or efficient.

For example, you might say "There's no need to reinvent the wheel. There are already plenty of good ways to do that." or "He's always trying to reinvent the wheel, even when there's no need to."

The other options are not as appropriate. To examine circumstances that have already been understood means to look at something that is already known. To analyse various factors of happenings means to study the different parts of something that has happened. And to disturb the system which has already been in use means to change something that is already working.