Step 1

Preheat oven to 450°F.

Step 2

Combine carrots, 1 tablespoon oil, salt and pepper on a large rimmed baking sheet; spread the carrots in an even layer. Place lemon halves on the baking sheet, flesh-sides down. Bake, stirring once, until the carrots are slightly charred and crisp-tender, about 15 minutes. Remove from oven and let cool, about 5 minutes.

Step 3

Squeeze the charred lemon halves through a fine-mesh sieve into a medium bowl; discard solids. Stir in dill, cilantro, coriander seeds and the remaining 2 tablespoons oil.

Step 4

Transfer the carrots to a cutting board; cut diagonally into 2-inch pieces. Add the carrots to the lemon mixture and toss to combine. Sprinkle evenly with feta. Garnish with dill, if desired.