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.
Define a shape
Shape
Triangle in the coordinate system — vertices and centroid G
Point 1
x1
y1
Point 2
x2
y2
Point 3
x3
y3
Centroid (G)
Gₓ
1
Gᵧ
2
Gₓ = (x₁+x₂+x₃)/3, Gᵧ = (y₁+y₂+y₃)/3.