Preheat the oven to 425 degrees. Lightly spray a half sheet pan with avocado oil spray.
Toss the carrots with the olive oil, honey, salt and pepper. Taste and adjust the salt as needed.
Spread the carrots out in a single layer over the pan. Roast for 16-20 minutes, or until the carrots are fork tender but not mushy.
Meanwhile, whisk together the olive oil, honey, lemon juice, and apple cider vinegar. Season to taste with salt and pepper.
In a large bowl, toss the arugula with the feta and herbs. Top with warm, but not hot, carrots and drizzle with dressing. Toss a final time, then serve.