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Showing content from https://rspatial.github.io/terra/reference/crs.html below:

Get or set a coordinate reference system — crs • terra

r <- rast()
crs(r)
#> [1] "GEOGCRS[\"WGS 84 (CRS84)\",\n    DATUM[\"World Geodetic System 1984\",\n        ELLIPSOID[\"WGS 84\",6378137,298.257223563,\n            LENGTHUNIT[\"metre\",1]]],\n    PRIMEM[\"Greenwich\",0,\n        ANGLEUNIT[\"degree\",0.0174532925199433]],\n    CS[ellipsoidal,2],\n        AXIS[\"geodetic longitude (Lon)\",east,\n            ORDER[1],\n            ANGLEUNIT[\"degree\",0.0174532925199433]],\n        AXIS[\"geodetic latitude (Lat)\",north,\n            ORDER[2],\n            ANGLEUNIT[\"degree\",0.0174532925199433]],\n    USAGE[\n        SCOPE[\"unknown\"],\n        AREA[\"World\"],\n        BBOX[-90,-180,90,180]],\n    ID[\"OGC\",\"CRS84\"]]"
crs(r, describe=TRUE, proj=TRUE)
#>             name authority  code  area             extent
#> 1 WGS 84 (CRS84)       OGC CRS84 World -180, 180, -90, 90
#>                                  proj
#> 1 +proj=longlat +datum=WGS84 +no_defs

crs(r) <- "+proj=lcc +lat_1=48 +lat_2=33 +lon_0=-100 +ellps=WGS84"
crs(r)
#> [1] "PROJCRS[\"unknown\",\n    BASEGEOGCRS[\"unknown\",\n        DATUM[\"Unknown based on WGS 84 ellipsoid\",\n            ELLIPSOID[\"WGS 84\",6378137,298.257223563,\n                LENGTHUNIT[\"metre\",1],\n                ID[\"EPSG\",7030]]],\n        PRIMEM[\"Greenwich\",0,\n            ANGLEUNIT[\"degree\",0.0174532925199433],\n            ID[\"EPSG\",8901]]],\n    CONVERSION[\"unknown\",\n        METHOD[\"Lambert Conic Conformal (2SP)\",\n            ID[\"EPSG\",9802]],\n        PARAMETER[\"Latitude of false origin\",0,\n            ANGLEUNIT[\"degree\",0.0174532925199433],\n            ID[\"EPSG\",8821]],\n        PARAMETER[\"Longitude of false origin\",-100,\n            ANGLEUNIT[\"degree\",0.0174532925199433],\n            ID[\"EPSG\",8822]],\n        PARAMETER[\"Latitude of 1st standard parallel\",48,\n            ANGLEUNIT[\"degree\",0.0174532925199433],\n            ID[\"EPSG\",8823]],\n        PARAMETER[\"Latitude of 2nd standard parallel\",33,\n            ANGLEUNIT[\"degree\",0.0174532925199433],\n            ID[\"EPSG\",8824]],\n        PARAMETER[\"Easting at false origin\",0,\n            LENGTHUNIT[\"metre\",1],\n            ID[\"EPSG\",8826]],\n        PARAMETER[\"Northing at false origin\",0,\n            LENGTHUNIT[\"metre\",1],\n            ID[\"EPSG\",8827]]],\n    CS[Cartesian,2],\n        AXIS[\"(E)\",east,\n            ORDER[1],\n            LENGTHUNIT[\"metre\",1,\n                ID[\"EPSG\",9001]]],\n        AXIS[\"(N)\",north,\n            ORDER[2],\n            LENGTHUNIT[\"metre\",1,\n                ID[\"EPSG\",9001]]]]"

# You can use epsg codes
crs(r)  <- "epsg:25831"
crs(r, describe=TRUE)$area
#> [1] "Europe between 0°E and 6°E: Andorra; Belgium - onshore and offshore; Denmark - offshore; Germany - offshore; Jan Mayen - offshore; Norway including Svalbard - onshore and offshore; Spain - onshore and offshore"

crs("epsg:25831", describe=TRUE)
#>                    name authority  code
#> 1 ETRS89 / UTM zone 31N      EPSG 25831
#>                                                                                                                                                                                                                area
#> 1 Europe between 0°E and 6°E: Andorra; Belgium - onshore and offshore; Denmark - offshore; Germany - offshore; Jan Mayen - offshore; Norway including Svalbard - onshore and offshore; Spain - onshore and offshore
#>                     extent
#> 1 0.00, 6.01, 37.00, 82.45

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