Math

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Centroid Calculator.

Find the centroid of three planar points.

On-device calculationNo signup
01

Set your values

Results update as you type.

Centroid x: 2

Centroid x

2.000000
Centroid y: 1

Centroid y

1.000000

Results update automatically as you type.

Use Cases

Find the center of a triangle

Use this calculator to quickly determine the centroid of a triangle given its three vertices, which is useful in geometry, engineering, and design.

Example: For points (0,0), (4,0), and (0,3), the centroid is (1.33, 1).

Average of three locations

If you have three locations on a map, the centroid gives the average position, which can help in logistics or planning.

Example: For points (2,3), (5,7), and (8,1), the centroid is (5, 3.67).

Frequently Asked Questions

What is the centroid of three points?
The centroid is the geometric center of the three points, calculated as the average of their x-coordinates and the average of their y-coordinates. It is the point where the medians of the triangle formed by the points intersect.
How do I use this centroid calculator?
Enter the x and y coordinates for each of the three points in the provided fields. The calculator will compute the centroid by averaging the x-coordinates and y-coordinates separately, giving you the centroid's coordinates.
Can the centroid be outside the triangle?
No, the centroid of three points always lies inside the triangle formed by those points. It is the balance point of the triangle's vertices.

Tips & Common Mistakes

Tips

  • Ensure you enter coordinates as numbers, which can be integers or decimals.
  • Double-check that you have entered all six coordinates correctly; a single mistake can shift the centroid.
  • Use the centroid as a reference point for balancing or distributing weight evenly among three points.
  • Remember that the centroid is the average of the x-coordinates and the average of the y-coordinates.

Common Mistakes to Avoid

  • Forgetting to enter all three points, leaving some fields empty.
  • Mixing up the x and y coordinates for a point, which will give an incorrect centroid.
  • Assuming the centroid is the midpoint of the longest side; it is actually the average of all three vertices.

Last updated: August 13, 2026