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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.

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Temperature

oC
oF

Length

m
km
in
ft
yards
miles
naut miles

Area

m2
km2
in2
ft2
miles2
acres

Volume

m3
liters
in3
ft3
us gal

Weight

kgf
N
lbf

Velocity

m/s
km/h
ft/min
ft/s
mph
knots

Pressure

Pa (N/m2)
bar
mm H2O
kg/cm2
psi
inches H2O

Flow

m3/s
m3/h
US gpm
cfm

3 30