Earthwork Cross Sectional Area Calculator
This calculator determines the cross-sectional area of land used for earthwork by inputting the X and Y coordinates of each point outlining the cross-section. It is useful for surveyors and civil engineers working on excavation, road construction, or grading.
Calculate Land Cross Section Area from Coordinates
Polygon Area from Coordinates Formula
Where:
- $$(xi,yi)$$ — coordinates of the vertices
- $$xn+1=x1$$, $$yn+1=y1$$ (polygon must be closed)
This method uses the shoelace formula (also known as Gauss’s area formula) to compute the area of any irregular polygon defined by a sequence of coordinates. It’s ideal for determining the cross-sectional area of natural ground or designed earthwork profiles before calculating volume.