Centroid Calculator

Enter the coordinate points each vertex of a triangle into the calculator. The calculator will evaluate and display the centriod of the triangle.

Centroid Formula

The following formula is used to calculate the centroid of a triangle.

Z = [(X1+X2+X3)/3,(Y1+Y2+Y3)/3]

  • Where Z is the coordinate points of the centroid
  • x1,x2,and x3 are the x-coordinates of the vertices
  • y1,y2 and y3 are the y-coordinates of the vertices

Centroid Definition

A centroid is the average coordinate center of any shape.

Centroid Example

How to calculate a centroid

  1. First, gather the coordinate points of the vertices

    Gather both the x and y coordinate points of each vertex

  2. Next, sum all of the x coodinates

    Add together all of the x coordinates and then divide the answer by 3.

  3. Next, sum all of the y coordinates

    Add together all of the y coordinates and then divide the answer by 3.

  4. Put the answers from steps 2 and 3 together

    The centroid will have an x value equal to that calculated in step 2 and the y value equal to that calculated in step 3.

FAQ

What is a centroid?

A centroid is the average center of any shape. In general, this is most associated with a triangle, but it can be calculated on any polygon with vertices.

How do you calculate the centroid of any shape?

The centroid is also known as the average of values of a set of points. In other words, it’s the average of a set of points, weighted by their respective values. Therefore, if you have a shape with 50 points, you could technically calculate the centroid of those points using the same formula as the above bad adding in the additional coordinates.

centroid calculator
centroid formula