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One nice feature of a line integral is that they can be used to relate the area enclosed by a curve in the plane to
the value of the line integral for specific vector field via Green’s Theorem. Historically, this has been a nice tool
to use with GPS to determine how far a person walked and how big the area their path enclosed was (though
some errors occurred when the path crossed itself). For this exercise, use the following free tool:
https://www.daftlogic.com/projects-google-maps-area-calculator-tool.htm
Pick any region you like (in any state or country, or perhaps any ocean?), and use this page to determine the
length of the path you create that surrounds the region and the area of the enclosed region. Please include a
screenshot or printed image of the map showing your region.
Sample Solution
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