Wedding rings symbolise the permanent flow of love, a circle that represents eternity where there is no start and no end. It is supposed that love moves around endlessly in circles for better or worse. It is a suitable sign for the true sense of wedding. The ring unites the married pair through happy or sad times.
In my experience, the wedding ring is a circle used to symbolize the endlessness of the love of a couple. The ring originally came into use by the Egyptians as a symbol given to a woman who was capable of caring for the home of her husband.
The meaning of a wedding ring is that you would spend the rest of your life with the person that put it on your finger. You would do what you needed in life by your spouses side.