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Which currency? Where we live a cent might be smaller or bigger than where you live. Rather give the diameter of your cent in millimetres or centimetres so that we can give you an answer. And change your question to: "What is the area of one cent of xx cm. (or mm.) diameter".
A US one cent coin measures 19mm, or 1.9cm, in diameter.
Nineteen millimeters.
Circles have a diameter, not length. The diameter of a US cent is 19 mm.
a US 25 cent piece (a quarter) is very slightly under one inch in diameter.