To slice carrots into coins, cut straight across the carrot perpendicular to its length. For half-moons, slice the carrot at a diagonal angle before cutting across.
The difference between carrot coins and half-moons lies in the angle of your initial cut. Here's a breakdown:
Carrot Coins: Hold the carrot firmly on a cutting board. Using a sharp knife, make straight, perpendicular cuts across the carrot's width. This will result in circular slices, or 'coins.' The thickness of the coins is determined by how far apart you make each cut.
Carrot Half-Moons: The key here is to create an angled surface to work with. Before you start slicing, make a diagonal cut at one end of the carrot. Now, as you slice, continue to make perpendicular cuts, but because of the initial angle, each slice will be a semi-circle, or 'half-moon.' The steeper the initial angle, the more pronounced the curve of the half-moon will be.
Consistency: For both methods, try to maintain a consistent thickness for each slice. This ensures even cooking.
Use a mandoline for perfectly uniform carrot coins or half-moons, especially if you need a large quantity. Be sure to use the hand guard to protect your fingers!