List of centroids
The following is a list of centroids of various two-dimensional objects. The centroid of an object in -dimensional space is the intersection of all hyperplanes that divide into two parts of equal moment about the hyperplane. Informally, it is the "average" of all points of . For an object of uniform composition (mass, density, etc.) the centroid of a body is also its centre of mass. In the case of two-dimensional objects shown below, the hyperplanes are simply lines.
Centroids
For each two-dimensional shape below, the area and the centroid coordinates are given:
Shape | Figure | Area | ||
---|---|---|---|---|
Right-triangular area | ||||
Quarter-circular area[1] | ||||
Semicircular area[2] | ||||
Quarter-elliptical area | ||||
Semielliptical area | ||||
Semiparabolic area
The area between the curve and the axis, from to |
||||
Parabolic area | The area between the curve and the line | |||
Parabolic spandrel | The area between the curve and the axis, from to | |||
General spandrel | The area between the curve and the axis, from to | |||
Circular sector | ||||
Circular segment | ||||
Quarter-circular arc | The points on the circle and in the first quadrant | |||
Semicircular arc | The points on the circle and above the axis | |||
Arc of circle | The points on the curve (in polar coordinates) , from to |
See also
References
- ↑ "Quarter Circle". eFunda. Retrieved 23 April 2016.
- ↑ "Circular Half". eFunda. Retrieved 23 April 2016.
External links
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