In a parabolic antenna, the feed horn is placed at the focal point and irradiate the reflector.
The latter send back in space a highly focused parallel beam that one can describe as pencil shape.
Primary radar in airport have often fan-beam with the section of antenna oriented horizontally to give a narrow beam in azimuth.
They must then be complemented with a height finders have the beam oriented horizontally because they cannot locate the altitude.
Those have their reflector rotated 90 degrees and produce a beam that is wide in the horizontal plane but narrow in the vertical.