engineering

Centroid Calculator

Calculate the centroid of composite shapes (rectangles and circles)

Centroid Calculator

Calculate the centroid of composite shapes. X, Y is bottom-left corner for rectangles, center for circles.

Shape 1
A = 10000.00 mm² · centroid at (100.00, 25.00) mm
Shape 2
A = 5000.00 mm² · centroid at (100.00, 100.00) mm
x̄ (Centroid X)100.0000 mm
ȳ (Centroid Y)50.0000 mm
Total Area15000.00 mm²

Formula

x̄ = ΣAᵢxᵢ / ΣAᵢ
ȳ = ΣAᵢyᵢ / ΣAᵢ

How to Use This Calculator

1

Enter your input values

Fill in all required input fields for the Centroid Calculator. Most fields include unit selectors so you can work in your preferred unit system.

2

Review your inputs

Double-check that all values are correct and that you have selected the right units for each field. Incorrect units are the most common source of calculation errors.

3

Read the results

The Centroid Calculator instantly computes the output and displays results with units. All calculations happen in your browser — no loading time and no data sent to a server.

Formula Reference

Centroid Calculator Formula

See calculator inputs for the governing equation

Variables: All variables and their units are labeled in the calculator interface above.

When to Use This Calculator

  • Use the Centroid Calculator when solving homework or exam problems that require quick numerical verification of your hand calculations.
  • Use it during the design phase to rapidly iterate on parameters before running detailed finite element simulations.
  • Use it when reviewing a colleague's calculation or checking a vendor's data sheet for plausibility.
  • Use it to generate reference data for a technical report or presentation without manual computation.

Related Calculators