The Perimeter of a watch is about 44mm.
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I assume you mean 44mm diameter. 1 inch = 25.4mm 44mm = 1.73 inches
Area and perimeter can be used for measuring things such as lawns (for lawn care) or an area of ground for cement (to order the cement)
That is the area. The perimeter is the measure around something, and it is relevant, among other things, to know how much fencing you need for a lot.
"Perimeter" is the distance around something, often a piece of land, or a closed geometric figure drawn on paper. The square root of 8 is neither of those things. It's just a number. A number doesn't have a perimeter.
A perimeter is a 1-dimensional measure while an area is 2-dimensional. The two measure different things and, according to basic principles of dimensional analysis, conversion from one to the other is not valid. For any given perimeter there are infinitely many possible areas and conversely.