Properties of Area Elements
Notation:
C = centroid
r = radius

= x centroid location

= y centroid location
x', y' = centroidal axes
A = area
P = perimeter
Ix = area moment of inertia about the x axis
Iy = area moment of inertia about the y axis
Ix' = area moment of inertia about the x' axis
Iy ' = area moment of inertia about the y' axis
| Circle | | |
| Semicircular Area | | |
| Quarter circular Area | | |
| Circular Sector Area | | |
| Circular Segment Area | | |
| Ellipse | | |
| Rectangle | | |
| Trapezoid | | |
| Triangle | | |
| Right Triangle | | |
| Quarter-circle spandrel | | |
| Parabolic semisegment | | |
| Parabolic spandrel | | |