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Centroids of Plane Areas

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

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

Square

centroid square

Distance

x = a / 2              (1a)

y = a / 2              (1b)

Area

A = a2              (1c)

Rectangle

centroid rectangle

Distance

x = a / 2              (2a)

y = b / 2              (2b)

Area

A = a b              (2c)

Circle

centroid circle

Distance

x = r              (3a)

y = r              (3b)

Area

A = π r2              (3c)

Semi-Circle

centroid semi-circle

Distance

x = 4 r / (3 π)             (4a)

y = r              (4b)

Area

A = π r2/ 2            (4c)

Right-angled Triangle

centroid right-angled triangle

Distance

x = b / 3              (5a)

y = h / 3              (5b)

Area

A = b h / 2             (5c)

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Related Topics

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9.19.12

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