Centroid Calculator

Your details

Triangle uses the simple average formula. Polygon uses the signed-area (shoelace) method for accuracy. Points averages coordinates of disconnected locations.
x-coordinate of the first vertex.
y-coordinate of the first vertex.
x-coordinate of the second vertex.
y-coordinate of the second vertex.
x-coordinate of the third vertex.
y-coordinate of the third vertex.
x-coordinate of the fourth vertex.
y-coordinate of the fourth vertex.
Centroid x
3

x-coordinate of the geometric center

Centroid y1.3333
Area12sq units
Points used3
Centroid x3
Centroid y1.3333

Centroid found at (3.000, 1.333)

  • The centroid is at (3.0000, 1.3333).
  • The enclosed area of the shape is 12.0000 square units.
  • This result was computed from 3 points.
  • The centroid is the point where the shape would balance on a pin, and it lies inside every convex shape.

Next stepTo check your answer: each median of a triangle passes through this point, dividing it in a 2:1 ratio from vertex to midpoint.

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