You may watch all Shark films and think that a shark is waiting to attack you in Menorca.
In fact, yes, there are sharks in Menorca. But like all the Mediterranean sea. Nevertheless, sightings in that latitudes rarely happen. With time, they were disappearing cause of overfishing and the increase of ships. As a result, sharks are going to deep waters.
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If you are lucky (or unlucky) and you find a shark. You don't be worried; probably it's hurried and stranded on the beach. The best thing you can do is call someone who can help it and save the shark's life.
Generally, sightings are all about a small shark called Tintorera or blue shark (Prionace glauca). Don't measure more than 3 meters, but they used to be much smaller.
It's not as easy as in oceanic countries. So you should go away a lot of miles from the coast and hope to be lucky; cause the slighting will be tricky.
However, in 2018, a scientific ship saw a white shark, but in the end, it was a pilgrim shark or Cetorhinus maximus. It's an animal that can measure 10 meters and eats just plankton. The last seen confirmed of a big white was in the 1960's decade in Mallorca.
You heard it right, in the Balearic Islands, there are more than 50 species of sharks. The thing is that they used to live from 500 meters deep. So it's not rare to see stranded sharks on the beaches, especially in winter. Maritime storms take them dead or dying to the coast, which surprises each time the visitors.
Usually are medium sharks from 1 to 3 meters long. The most frequent shark sighting in the Balearic Islands is the Isurus Oxyrinchus and the Prionace glauca; this last one is the blue shark.
In conclusion, if you go to Menorca. Statistically, it's easier to receive a thunderbolt than a shark attack. So you can be calm and enjoy Menorca and its 30 best beaches.