section_path: Properties and formulas/Centroid
section_name: Centroid
paragraph_text: Centroid
  
  Using the same convention for vertex coordinates as in the previous section, the coordinates of the centroid of a solid simple polygon are
  
  In these formulas, the signed value of area A {\displaystyle A} must be used.
  
  For triangles (n = 3), the centroids of the vertices and of the solid shape are the same, but, in general, this is not true for n > 3. The centroid of the vertex set of a polygon with n vertices has the coordinates