Centroid of a Sector of a Circular Disc

Consider a sector of a circular disc of angle 2α as shown in Figure 11.11. Due to symmetry, centroid ‘G’ lies on x-axis. To find its distance from the centre O, consider an elemental area as shown in Figure 11.11.

Figure 11.11

Figure 11.11 Centroid of a Sector of a Circular Disc

Equation

Now,

Equation

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