Centroid Calculator

Geometric Center of Mass

Calculate the centroid (center of mass) coordinates for various geometric shapes.

Calculator

Formula:
C = (w/2, h/2)

About Centroid

The centroid is the geometric center of a shape, representing the average position of all points.

Key Points:
  • Center of mass for uniform density
  • Balance point of the shape
  • Used in engineering and physics
  • Coordinates (x̄, ȳ)

Supported Shapes

  • Rectangle
  • Triangle (any type)
  • Circle
  • Semicircle
  • Quarter Circle
  • Trapezoid

Features

  • Multiple shape support
  • Centroid coordinates
  • Area calculation
  • Perimeter calculation
  • Quick examples
  • Copy results
  • High precision (4 decimals)

Applications

Engineering: Structural analysis

Physics: Center of mass calculations

Architecture: Design and balance

Mathematics: Geometry problems

Formulas

Rectangle:
C = (w/2, h/2)
Triangle:
C = (Σx/3, Σy/3)
Circle:
C = (0, 0)