Worcester, Massachusetts is 2 times larger than Providence, Rhode Island.
Area: 49 km2 calculated
Providence is the capital and most populous city in Rhode Island. Founded in 1636, it is one of the oldest cities in the United States. It is located in Providence County, and is the third-largest city in the New England region after Boston and Worcester. Wikipedia
Area: 100 km2 calculated
Worcester is a city and the county seat of Worcester County, Massachusetts, United States. Named after Worcester, England, as of the 2010 Census the city's population was 181,045, making it the second largest city in New England after Boston. Wikipedia