extracting the overlapping area from a shape file using a grid vector of latitude and longitude

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Hello Dears,
I have a grid cells of location ( latitude and longitude ) for a certain area. The task i wanted to do is to calculate all gris areas overlapping with in the watershed. Assume the grid is square so it would be so easy to calculate the area, but some the areas are irregualr due to the shape of the watershed.
So i have so many square and irrgular overlapping pixes to be calculated. I kindly appreciate some one with smart idea to figure this out.
Best
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