Centroid Formula
Civil Engineering (BSCIV)
Parabolic Segment
Spandrel
A=
2
bh
3
A=
1
πab
4
x¯=
3
b
5
x¯=
4a
3π
x=0
y¯=
3
h
8
y¯=
4b
3π
y=0
Quarter Circle Area
A=
x¯=
A=πab
1
bh
(n+1)
n+1
b
n+2
n+1
h
y¯=
4 n+2
A=
bh
2
y¯=
h
3
x= x
One Arc of Sine Curve
Quarter
A=
1
πr
4
Semi
2
A=
4r
x¯=
3π
y¯=
4r
3π
4r
3π
Quarter Ellipse
πr
2
2
SemiParabolic and
Parabolic
x¯=0
y¯=
A=
2 aL
π
πa
y¯=
8
2 ah
3
4 ah
3
A=
x¯=
3a
8
3a
8
A=
x¯=
3h
5
y¯=
y¯=
3h
5
y¯=0
Circular Arc
Circular Sector
A=2r θ rad
A=r 2 θ rad
2 r sin θ
3θ
x¯=
y¯=0
Semi Circular Arc
A=
1
πr
2
x¯=
2r
π
2
x¯=
y¯=0
r sin θ
θ