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# Centroids of Plane Areas

## The controid of square, rectangle, circle, semi-circle and right-angled triangle.

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.

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## Citation

• The Engineering ToolBox (2019). Centroids of Plane Areas. [online] Available at: https://www.engineeringtoolbox.com/centroids-areas-d_2174.html [Accessed Day Month Year].

Modify the access date according your visit.

7.25.9

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