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How to count number of pixels which intersect the polygon?

Question asked by qwerty@ on Sep 29, 2016
Latest reply on Oct 7, 2016 by curtvprice

I have around 300 polygons and a raster data set for the same area. I would like to know how many pixels on raster data set are intersected by every individual area. Is there an easy way to do this? I know that I can convert my Raster to Point data set and that using Select by Location count the points, but I would like to avoid this, because my raster has 50000 x 50000 pixels, so it will take long time.