For a quarter circular sector with radius r, centre of gravity lies at a distance?

Question: For a quarter circular sector with radius r, centre of gravity lies at a distance?

For a quarter circular sector with radius r, the centre of gravity lies at a distance of (4r)/(3π) from the centre of the circle. The centre of gravity is the point where the entire weight of the sector appears to act. In a quarter circular sector, the weight is uniformly distributed throughout the area. By considering the area of the sector and its moments about the x and y axes, we can determine the x and y coordinates of the centre of gravity. The distance of the centre of gravity from the centre of the circle can then be found using the Pythagorean theorem.

  

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