Centroid Calculator
Calculate the centroid (center of mass) of a set of points in 2D space. Enter coordinates and weights to find the weighted average position.
Published by:
isCalculator Editorial Team
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How to use this tool?
This calculator computes the weighted centroid (center of mass) of a set of points in a 2D plane. Each point can have a weight that influences its contribution.
How to Use
- Enter points in the text area. Use the format:
x,y;weight(e.g.,0,0;1). Separate multiple points with a space or new line. - Weight is optional – if omitted, it defaults to 1. If provided, it must be a positive number.
- Click "Calculate Centroid".
Output
- Centroid coordinates (X, Y) – the weighted average of all points.
- Total weight – sum of all weights used in the calculation.
Example input: 0,0;2 4,0;1 2,3;1 → Centroid ≈ (1.5, 0.75)
Previous Results
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Frequently Asked Questions
The centroid is the geometric center of a set of points, calculated as the weighted average of their coordinates.
Enter each point as x,y;weight. Separate multiple points by space or new line. Weight is optional (default 1). Example: 0,0;1 1,1;2 2,2;1
If no weight is specified, each point is assumed to have a weight of 1, giving an unweighted average.
