Not possible for most objects, since there is no relationship between weight and length.
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measure/360=arc length/circumference. C=pi*diameter, so you now have (known value)/360=(known value)/(pi*diameter). With only one unknown value, you can now find the diameter.
If you have only the arc length then you cannot find the diameter.
More information is needed. One of the sides or the diagonal length has to be known, unless you have a square, in which case you divide the perimeter by 4.
You cannot find the area of a rectangle if you only know its length. You need to know its width too. Then you multiply its length by its width.
One characteristic of a line is that the length continues on forever.You can only find the length of a line segment.