Centroid Calculator: Find the Geometric Center

Calculate the Centroid of Multiple Points

Enter each point as "x,y" on a new line or separated by semicolons. For example: "0,0; 10,0; 0,10; 5,5"

Quickly determine the centroid, also known as the geometric center or center of mass, of a collection of points or a polygon using our straightforward online calculator. This tool is essential for fields like engineering, physics, and graphic design to locate the balance point of objects or systems.

Formula:

The centroid (Cx, Cy) for a set of n points (x1, y1), (x2, y2), ..., (xn, yn) is calculated using the following formulas:

  • Cx = (x1 + x2 + ... + xn) / n
  • Cy = (y1 + y2 + ... + yn) / n

Where:

  • Cx: The x-coordinate of the centroid.
  • Cy: The y-coordinate of the centroid.
  • xi, yi: The coordinates of the i-th point.
  • n: The total number of points.

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