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Math Calculators

Centroid Calculator

Compute centroid coordinates for a triangle, an N-sided polygon (shoelace formula), or any set of points.

Choose Triangle, N-sided polygon, or N points mode and enter Cartesian coordinates for each point.

Triangle and N-points modes compute centroid as the arithmetic mean of x and y coordinates.

N-sided polygon mode uses the signed-area (shoelace) centroid formulas and requires vertices ordered around the polygon boundary.

Find centroid of a triangle, an N-sided polygon, or an N-point set. For polygon mode, enter vertices in order around the boundary.

Point 1
Point 2
Point 3

Centroid (G)

Gx

1

Gy

2

Computed as average of 3 triangle vertices.