Using polygons over raster in ArcMap?

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I have a shapefile(polygon) layer consisting of many polygons and I have a raster.

I want to do some analysis for those raster pixels which are beneath that polygons in ArcMap.

Which method do you propose?

I tried to clip my raster by clip in data management tools (raster processing)but it just clip my raster by a rectangle but my polygons are non-rigid and I want to clip my raster based on those non-rigid polygons and have the values of pixels beneath them.



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