Prepare the carrots by peeling and cutting them into sticks.
In a saucepan, combine vinegar, water, sugar, and salt. Bring to a boil until the sugar and salt have dissolved.
Place the carrots, garlic, dill and red pepper flakes in a clean jar.
Pour the hot vinegar mixture over the carrots, ensuring they are fully submerged.
Seal the jar and let it cool to room temperature before refrigerating.
Allow the carrots to pickle for at least 24 hours before serving for the best flavor.