If I create a coin and I want its multiple thickness size, to be as the same as the area of this coin, what's the way to calculate the thickness-diameter ratio that needed- considering the specific amount (in grams) and density of the metal (g/cm³) I'm going to use? I'm looking for the thickness and the diameter that their multiplication will fit the area of this coin.
To make it simpler, I'll take one example: I'm taking 1 gram of silver (it has a density of 10.49 g/cm³) and I want one surface area of the coin I'm planning to do, to be the same as 2* diameter * thickness. (for instance: if the diameter is 10mm, and the thickness is 1 mm, then I want the are of the coin to be 20mm^2, which is the multiplication of the thickness size in the diameter *2).
Shortly, I want to find a way to find the thickness and diameter if I have density data and a specific weight of metal of which I want to create the coin:
Thickness (in mm)* diameter (in mm) * 2 = the same as the surface area of one side our of the two sides of the coin (in mm^2).