Centroid in Solid Figures
Centroid in a solid figure is point of center of gravity. As centroid is center point of object.
Formula for calculating the centroid in solid figures :
Cx = ∫x dV/V , Cy = ∫y dV/V and Cz = ∫z dV/V
Where,
- The perpendicular distance in the x direction from the yz-plane to the centroid is Cx,
- The perpendicular distance in the y direction from the zx-plane to the centroid is Cy,
- The perpendicular distance in the z direction from the xy-plane to the centroid is Cz, and
- The coordinates of the centroid are (Cx , Cy , Cz).
Centroid of a Triangle
Centroid is a geometric point that represents the center of mass or the average position of all points in a shape or object, often used in mathematics, physics, and engineering for various analytical purposes. Centroid always lies within the figure and is not only related to triangles; it can be determined for every geometric figure as well.
In this article, we will explore the concept of the centroid in detail, including the centroid of triangles as well as centroid of various geometric shapes such as triangles, quadrilaterals, polygons, as well as circles. Additionally, we will learn about the formula to calculate the centroid of a triangle using the coordinates of its vertices.
Table of Content
- What is Centroid?
- Properties of Centroid
- Centroid of a Triangle
- Centroid Definition in Triangle
- Centroid in Plane Figures
- Centroid of Quadrilateral
- Centroid of Circle
- Centroid in Solid Figures
- Centroid FAQs