I have a (1) polygon/shapefile of administrative boundaries

and a (2) a raster with different categories (e.g. 1, 2, 3, 4, 5,)

I would like to determine the area of the raster (only category 1) within the polygon/shapefile .

I have tried converting the polygon/shapefile into a raster (feature to raster too, with similar pixel/grid sizes) and combining the 2 rasters. I then estimated the area by looking at the resulting attribute table.

However, I'm not too sure if this is an appropriate way to do this.

Thus, is there a more appropriate/easier method?

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