If you form the

string into a

circle and measure distance from the

centre of the circle to the edge (ie the

radius you can calculate the length of the string using 2.

pi.

R
This leaves the small problem that if we had such a measuring device, the question could be answered by simply measuring the string, an alternative solution must be sought.

Let us make some assumptions:

**The string is at least 1cm in length**

Any smaller and calling it a piece of string is perhaps a misnomer, fluff would be a better definition.

**The string cannot exceed one ton**

Manufacturing such a string would be impractical, and would instead of being named string, would be better termed as a tourist attraction.

**String is no thinner than 1.5mm**

Thinner than this, and we are entering the territory of thread.

**Worst case density is 0.7kg/litre**

Otherwise the string will be too weak.

So, we know the maximum weight, and the volume:

1000

---- = 1429 litres or 1.429 cubic metres.

0.7

Therefore, maximum length is

Volume 1.429m
------ = -------------
Area pix0.5mmx0.5mm

So the string length lies between 1cm and 11,644.39km which can be expressed as above

*Paraphrased from "A Mensa Puzzle Book", Victor Serebriakoss; Treasure Press, Bond House, St John's Square, Wolverhampton (1991)*