One cent
Look at the coin again. The first US one cent coin was struck in 1793.
Please look at the coin again, 1857 was the last year the US made a large cent.
If the coin is a Lincoln cent dated 1964 it may look like gold or have been gold plated but the US Mint has never made a gold one cent coin.
No gold US one cent coins were ever made. Please look at the coin again and post new question.
One cent
0.1 cent.
Looks like a one cent stamp, says one cent on it and yes you can still use them
A US one cent coin dated 1906 is a Indian Head (1859-1909) cent.
About the width of a US penny (one cent coin)
Such a coin does not exist. The Australian 1 cent coin was first issued in 1966. The Australian One Penny coin was issued from 1911 to 1964 inclusive.
Look at the coin again. The first US one cent coin was struck in 1793.
The current US penny coin features the Union Shield Crest on the back side of the coin. A banner with the words one cent goes over the shield.
The apothem is the perpendicular from the cent of a regular polygon to one of it's sides. When drawn it looks like the line drawn for the radius or circumference of a circle.
It's the same size as a US cent with a picture of a wild hog, the date, and the words ONE CENT. Please see the link below for an image.
Please look at the coin again, 1857 was the last year the US made a large cent.
1882 cents look like any other Indian head cent from the period 1864-1909. I can't point you to a picture of an 1882, but the link shows an 1881 with exactly the same design.