Step 1: Understand microwaves.
Microwaves are electromagnetic waves having wavelengths shorter than radio waves and longer than infrared waves.
They are widely used in communication systems and radar technology because they can travel long distances and can be focused into narrow beams.
Step 2: Analyze the given options.
(1) FM radio:
FM radio broadcasting generally uses radio waves of very high frequency (VHF) range, not microwaves. Hence, this option is incorrect.
(2) Eye surgery:
Eye surgeries commonly use lasers, especially visible or infrared light. Microwaves are not generally used for eye surgery. Hence, this option is incorrect.
(3) Cancer treatment:
Cancer treatment mainly uses gamma rays, X-rays, or radiotherapy techniques. Although microwaves may have limited medical applications, this is not the standard answer here. Hence, this option is incorrect.
(4) Radar system:
Radar systems use microwaves because microwaves can penetrate atmospheric conditions effectively and can be reflected from objects to detect their position and speed. Hence, this option is correct.
Step 3: Final conclusion.
Therefore, microwaves are mainly used in
\[
\boxed{\text{Radar system}}
\]