Eye (cyclone)
The eye is an area of calm weather in the center of strong tropical cyclones. The cyclone's lowest barometric pressure occurs in the eye. It is usually circular and ranges between 30 and 65 km (20 to 40 mi) in diameter, though smaller and larger eyes can occur.
In case of a cyclone it is the place where all the winds coming inside in a spiral motion converge. In an anticyclone it is the part from where all winds move out from.
The region surrounding the eye is the eyewall, where the worst weather is seen in a cyclone. These have strong winds, lots of rain and lots of cloud. There are also outer bands, which surround the cyclone, which forms the greatest part of the storm. These have winds so strong they can even form other tornadoes.
Eye-like features
Sometimes, features that look like eyes can be seen in other types of low pressure areas. Those aren't named eyes, but they look like eyes, which is why they are instead named eye-like features.
Eye-like features can appear in polar lows, extratropical cyclones, subtropical cyclones, and potentially even tornadoes when seen on radar.