You'll need to be more specific than "circa", because that means "somewhere near". Also, an eagle is a $10 coin; a double eagle is a $20 coin.
If you mean that the coin was SPECIFICALLY minted in 1908, AND it's a double eagle, its value as of 07/2008 is about $1100 for its gold content, regardless of mint mark.
However from an artistic standpoint the St Gaudens design is considered to be one of the 2 or 3 most beautiful coins ever minted, so the thought of throwing it in a melting pot is a bit depressing.
The weight of a 1908 Double Eagle is 33.436 grams. AGW is .96750oz of pure gold
Current retail value for a certified 1908 Half Eagle is about $5,000.00 in MS-64
A 1908 Saint-Gaudens $20 Double Eagle coin with no motto on reverse in a mint state of AU-50 is worth: $975.00; if this coin does have the motto on revese, its value in a mint state of AU-50 is also: $975.00.
Rescued from an Eagle's Nest - 1908 was released on: USA: 16 January 1908
Trying to Get Rid of a Bad Dollar - 1908 was released on: USA: July 1908
Live to the truth
Bald Eagle Valley Railroad ended in 1908.
Rescued from an Eagle's Nest was created on 1908-01-16.
There isn't a flying eagle $2.50 gold piece. All coins of that denomination struck from 1908 to 1929 show an eagle with its wings folded and perched on a bundle of arrows. There's more information about 1911 quarter-eagles at the Related Question.
The 1908, No Motto Double Eagle is one of the most common double eagles of them all. Regardless of type or mint mark, as of 10-24-11 values are $1,950.00-$2,050.00 for a circulated piece. Mint State examples are also very common. Typical coins (MS-60 to MS-62) have values from $2,080.00 to $2,500.00 depending on the coin.
The US Mint issued gold coins in 4 denominations in 1908; the Quarter Eagle { $2.50 }, the Half Eagle { $5.00 }, the Eagle {$10.00 }, the Double Eagle { $20.00 }. Please examine your coin and submit a new question giving the denomination as well as the date of the coin.
One dollar from 1908 is now worth $25.64 dollars. This is due that?æthe value of the dollar today is less that it was in the past. That is because prices seem inflated as each dollar is able to buy less and less.