This is a general description and leaves out some of the optional or special steps, but the following is common to nearly all coin production:
Coins begin as large sheets of metal that have been rolled to the appropriate thickness for whatever denomination will be made from them. These sheets come in huge rolls like giant paper towels, and are unwound and fed into a machine that punches out circular blanks called planchets. Each planchet is essentially a raw coin, and is the correct thickness and diameter to be made into the finished product.
Next the planchets are put into a special machine called an upsetter that squeezes them slightly around the edges to form the little lip or rim that you see around the edge. The upset planchets are then fed into coin presses that strike both sides of the blank with hard metal dies. The dies have reversed images of the coin on them, and the pressure squeezes the planchet's metal into the dies' recesses to form the final design. It's a bit like making cookies or waffles in a press that puts a pattern into the batter. The part of the press that holds the coin in place is called the collar, and it may have its own designs or markings on it that are pressed into the coin's edge; for example, some US Coins have ridges on the edge called reeding, that's put on by the press collar.
If a coin's edge has more intricate designs or lettering, that may be added by an additional step through a special press that adds the edge design.
It's called a mint. There are currently 4 active U.S. mints:
Philadelphia (P mint mark) and Denver (D) produce circulation coins
San Francisco (S) makes proof coins
West Point (W) makes bullion and collectors' coins
There have been other mints in the past -
New Orleans (O)
Carson City (CC)
Charlotte (C)
Dahlonega, GA (D, but not at the same time as Denver)
All British Coins, and the coins of approximately 60 other countries are made at the Royal Mint, Llantrisant, South Wales.
Coins are produced in a MINT
A mint.
the mint
Coins are made in a facility called a mint.
Coins in the UK are manufactured by the Royal Mint.
Coins are produced at a mint.
It is called a mint.
I think the building where coins are made is called a Mint.
A Mint
Coins are manufactured at a "Mint" which is usually under the control of the government.
They aren't. The place where they are made are called mints.
A ship yard
the name of the place where iron is made is called a furnace
The royal mint