# Centroid Calculator

> Find the centroid of a triangle from three vertices, or the centroid of a list of 2D points. Returns the centroid coordinate (x-bar, y-bar) with step notes.

**URL:** https://www.calculatoranswers.com/centroid-calculator
**Category:** Education

## Quick Answer

Find the centroid of 2D geometric shapes or sets of points. Enter coordinates to calculate the exact center of area or center of mass.

## Definition

A centroid calculator is a geometry and physics utility that determines the geometric center (centroid) or center of mass of a shape or a set of coordinates. For discrete points, the calculator computes the arithmetic mean of the coordinates. For continuous two-dimensional regions, it applies integral calculus to divide the first moments of area by the total area. It supports common polygons, triangles, and custom coordinate inputs. Engineering and physics students use this tool to calculate balance points and analyze structural distributions.

## How to Use

1. **Select shape or input type** — Choose whether you are calculating the centroid of discrete points or a geometric shape.
2. **Enter coordinates** — Type the x and y coordinates of your points or the dimensions of the shape.
3. **Read centroid coordinates** — View the coordinate coordinates of the centroid with step-by-step equations.

## Disclaimer

This calculator provides estimates for educational and planning purposes. Always consult a qualified professional for specific advice on financial, medical, legal, or other regulated decisions.

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