A Tale of Two Feet

OR

The Case of The Double Standard

 

 

The US Metric Law of 1866 said that one meter was equal to 39.37 inches, exactly. In 1959, the relationship between inches and centimeters was redefined to be that one inch is equal to 2.54 centimeters, exactly. Maps produced by the US Coast and Geodetic Survey continued to use the old standard. To clarify which foot you are talking about, the old foot, derived from 1 meter = 39.37 inches (exactly), is referred to as the “US survey foot”. The new foot, derived from 1 inch = 2.54 cm (exactly), is referred to as the “international foot”.

 

The relationship between the two is: 1 international foot is equal to 0.999 998 US survey foot, exactly. The “error” is thus 2 parts in a million.

 

Over what distance would the error accumulate to 6 inches? The answer is 47.35 miles. In other words, at its longest dimension, Rhode Island is about 6 inches longer than the map says!

 

See: http://physics.nist.gov/Pubs/SP811/appenB.html#B6 and http://www.sfei.org/ecoatlas/GIS/MapInterpretation/ConversionConstants.html