Wow. What a neat coin! That's a condor, not an eagle or other 'standard' bird on the front of the coin. Can't you envision it soaring high over the Chilean Andes?
These are beautiful coins, but they are not worth very much. The metal is aluminum bronze, not gold, so the coin is worth face value unless it is special in some way (more below). If your coin looks like the one in the photo, with virtually no wear, a collector might pay a few US dollars to add it to his or her collection. This applies to both 5 centesimos and 10 centesimos
Some coins dated before 1963 were minted in very low numbers. They catalog as follows:
5 CENTESIMOS DATED 1961 OR 1962, AND 10 CENTESIMOS DATED 1960:
worn: $1 US dollar approximate catalog value
average circulated: $2
well preserved: $6
fully uncirculated: $12
If you have a 5 centesimos coin from Chile dated 1960, then congratulations! These were never intended for circulation, and catalog for $75 in fully uncirculated condition. The explanation for this is in the composition - these coins are made from aluminum bronze, and 5 Chilean centemimos were not a lot of money in 1960! Mint officials were worried that the added cost of metal, production and distribution would be more than the value of the coin (just like the problem with US pennies these days!), and held off a while before they minted the coin in any quantity.
They did mint some coins in 1960 to present as fake evidence to the politicians requesting the minting of the coins, to convince them that the coins were in fact being minted as scheduled. Some of these coins still survive in collections today, and those are the ones worth $75.