Engineering ToolBox - Resources, Tools and Basic Information for Engineering and Design of Technical Applications!

This is an AMP page - Open full page! for all features.

• the most efficient way to navigate the Engineering ToolBox!

# Centroids of Plane Areas

The centroid of an area is the point where the whole area is considered to be concentrated.

### Square

#### Distance

x = a / 2              (1a)

y = a / 2              (1b)

#### Area

A = a2              (1c)

### Rectangle

#### Distance

x = a / 2              (2a)

y = b / 2              (2b)

#### Area

A = a b              (2c)

### Circle

#### Distance

x = r              (3a)

y = r              (3b)

#### Area

A = π r2              (3c)

### Semi-Circle

#### Distance

x = 4 r / (3 π)             (4a)

y = r              (4b)

#### Area

A = π r2/ 2            (4c)

### Right-angled Triangle

#### Distance

x = b / 3              (5a)

y = h / 3              (5b)

#### Area

A = b h / 2             (5c)

## Related Topics

### • Mathematics

Mathematical rules and laws - numbers, areas, volumes, exponents, trigonometric functions and more.

## Related Documents

### Area Units Converter

Convert between units of area.

### Circle - Equation

The equation for a circle

### Circles - Circumferences and Areas

Circumferences and areas of circles with diameters in inches.

### Circles Outside a Circle

Calculate the numbers of circles on the outside of an inner circle - like the geometry of rollers on a shaft.

### Elementary Curves

Ellipse, circle, hyperbola, parabola, parallel, intersecting and coincident lines.

### Equal Areas - Circles vs. Squares

Radius and side lengths of equal areas, circles and squares.

### Geometric Shapes - Areas

Areas, diagonals and more - of geometric figures like rectangles, triangles, trapezoids ..

### Hexagons and Squares - Diagonal Lengths

Distances between corners for hexagons and squares.

### Pythagorean Theorem

Verifying square corners.

### Right Angled Triangle

Right angled triangle equations.

### Smaller Rectangles within a Larger Rectangle

The maximum number of smaller rectangles - or squares - within a larger rectangle (or square).

### Solids - Volumes and Surfaces

The volume and surface of solids like rectangular prism, cylinders, pyramids, cones and spheres - online calculator.

### Trigonometric Functions

Sine, cosine and tangent - the natural trigonometric functions.

## Search Engineering ToolBox

• the most efficient way to navigate the Engineering ToolBox!

## SketchUp Extension - Online 3D modeling!

Add standard and customized parametric components - like flange beams, lumbers, piping, stairs and more - to your Sketchup model with the Engineering ToolBox - SketchUp Extension - enabled for use with the amazing, fun and free SketchUp Make and SketchUp Pro . Add the Engineering ToolBox extension to your SketchUp from the Sketchup Extension Warehouse!