Preheat oven to 350 (175C) and line a baking tray with parchment paper.
Wash carrots and trim stems. Dry on paper towel.
In a small bowl put juice and oil together and mix. Brush each carrot with mixture and place evenly spaced onto baking tray. Sprinkle over sugar. Season with salt and pepper.
Place in oven for 15 min then turn carrots and cook for a further 15min or until tender.
Place carrots into serving dish then crumble feta and sprinkle zest on top.