846

 

10023

[highlight]Solution[/highlight]

 

10002

[highlight]Solution:[/highlight] Centroid of polygon The centroid of a non-self-intersecting closed polygon defined by n vertices (x0,y0), (x1,y1), …, (xn−1,yn−1) is the point (Cx, Cy), where Cx= 1/6A *sumof((X_i+X_i+1)*(X_i*Y_i+1 – X_i+1 * Y_i)); fori=0 to n-1 Cy= 1/6A *sumof((Y_i+Y_i+1)*(X_i*Y_i+1 – X_i+1 * Y_i));for i=0 to n-1 and where A is the polygon’s signed area, A =

10078

 

10025

 

10015

 

11762

 

11119