Your task is slightly more complicated than you would expect. You will need to create a separate polygon shapefile/featureclass. I would approach the problem as follows:
- Add a new shapefile or feature class to your project (right click on
folder/feature dataset > new Shapefile/Feature Class... > feature type "Polygon"). Make sure to define your coordinate system if you are working with a shapefile. If you are familiar working with file geodatabases, I would recommend using it to sync the coordinate systems and simplify the area calculations of your polygons.
- Open the editor and digitize your polygon boundaries. Save edits.
- Use Spatial Join (ArcToolbox > Analysis Tools >
Overlay) to join the attributes from your golf course point shapefile/featureclass to the attributes of your newly digitized golf course polygon
shapefile/featureclass.
If you need additional help digitizing polygons, see this GISse link.
Best of luck...