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You can place a ruler across the coin's center, or if you're interested in being more precise you can get a small instrument called a caliper. A caliper has sliding jaws and a scale that tell you how wide the jaws are open when placed around a coin or similar object.

If it's a US coin, the US Mint website has a list of specifications including weights and diameters. Other sites such as coinfacts.com have similar information.

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