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First find the circumference of the round wheel. Then make any mark on the wheel and mark it as 0. Now divide rest of the wheel in equal no. of parts and on each mark, write how much inch it covers.

For eg, if circumference of the wheel is 10 inches, divide the wheel in 10 equal parts with each part covering 1 inch.

Now take the 0 mark on the wheel at the starting point of the linear distance you want to measure. now turn the wheel and count no. of turns till the end of distance.

write down the point where the wheel stops at end.

Now the length is =no. of turns X circumference of the wheel + length marked where wheel stopped.

Lets say with wheel of circumference 10 inches, no. of turns it took was 7 and stopped at marked point 8 inches on the wheel., so it distance covered is 70 + 8 = 78 inches.

+++ You can buy instruments for exactly this task, for example in surveying roads. They consist simply of a wheel and turns-counter on a handle, and are used by pushing them along the road to be measured. Somewhat similar devices are used for measuring lengths of ropes etc.

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