center og gravity of a circle
The center of area of a circle is the center of the circle by symmetry. The center is also the center of mass if the material is of uniform thickness and density.
The center of gravity of a circle is also known as its centroid. To find the centroid of a circle, you can use its symmetrical properties.
The center of a circle is the midpoint of its diameter, which is a line segment passing through the center and connecting any two points on the circumference. Therefore, the center of gravity of a circle is at the same location as its center.
The intuitive explanation is that since a circle is perfectly symmetrical, every point on its circumference is equidistant from the center. As a result, the average position of all the points is at the exact center of the circle.
So, to find the center of gravity of a circle, simply locate its center.