What is a centroid?
It is the geometric center—the average of the point coordinates.
Centroid Calculator
Locate the geometric center of a triangle or the average position of several points.
Choose centroid mode
Use three triangle vertices, or paste a list of (x,y) points.
About this calculator
How to use Centroid Calculator, plus the formulas and logic behind the results.
Tool description
The centroid is the average of the vertex coordinates. For a triangle it is also the intersection of the medians.
How to use
- Select triangle or points mode.
- Enter three vertices, or a list of points as x,y pairs.
- Select Calculate to view the centroid.
- Confirm the count of points used.
Formulas & reference
Triangle: G = ((x1+x2+x3)/3, (y1+y2+y3)/3)Points: G = (mean x, mean y)
Centroid tips
- Triangle centroid divides each median 2:1
- Equal mass points → average position
- Need at least one valid point in points mode
- Format: x,y pairs
Calculation logic
Averages x and y coordinates. Points mode parses pairs separated by semicolons, commas, or newlines.
Collinear triangle vertices still produce an average point; they may not form a non-degenerate triangle.
Centroid Calculator FAQ
Common questions about this calculator and how to use the results.
How do you find a triangle centroid?
Average the three vertex x-coordinates and the three y-coordinates.
Can I average more than three points?
Yes. Use points mode for any number of (x,y) points.
Does order of vertices matter?
No. Averaging is commutative.
Is centroid the same as circumcenter?
No. Circumcenter is the center of the circumcircle; centroid is the average of vertices.
What format for points?
Enter pairs like 1,2; 3,4; 5,6.