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Irregular Polygons and Differences in Area

Question asked by Brian.Acheff on Jul 31, 2020
Latest reply on Aug 6, 2020 by danretired

I have a polygon FC that has been divided in 4 zones and that is further divided into subzones and exported as a new FC. 

 

The issue is that the area of the original polygon (encompasses the entire city limits) has a larger area than the sum of all the sub zones put together.

 

For the sake of testing, I created two new fields called AREA in the original FC and the subdivided FC; both FC are in the same coordinate system and when calculating the geometry using the GP Tool I did not select a Coordinate system.

 

Is there a mathematical explanation concerning irregular polygons, their shape and why when combined their area would not equal the original polygon that they were split from?

 

AREA:

 

 

 

AREA: 

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