The US issued several different styles of half cents all the way up to 1857. This one is called the 'Classic Head' type with Miss Liberty's hair down in curls. Another type, called 'Braided Hair' or 'Coronet,' appears at this CoinQuest link.
Catalog values of classic head half cents run approximately like this:
average circulated (like our picture): $90
well preserved: $150
fully uncirculated: $500
Coins dated after 1827 are more common and worth about one-half the values above
Coins dated 1811 are extra rare, and catalog at about $1000 in average circulated condition.
There are other dates with unusual value behavior, notably 1831 and 1836, which require special numismatic (coin collector) expertise to properly evaluate. In fact, if you have a classic head half cent in well preserved condition, consider seeking a professional numsmatist or a knowledgable collector to evalute your coin. Our guidance on CoinQuest is very approximate.