Is a business report and a board report the same?

A board report is a business report, a report of the business of a board of directors or a report of a specific meeting of a board.

A business report can be on any topic whatsoever that involves any aspect of a business; it can be a report to or from the board of directors, a profit and loss report to shareholders or a government agency, to a justification for the expense to paint the rest rooms.