Preheat your oven to 400°F (200°C).
Wrap each beet individually in aluminum foil and place on a baking sheet.
Roast for 45 minutes, or until the beets are tender when pierced with a fork.
Allow the beets to cool, then peel and dice them into bite-sized pieces.
Slice the cucumber into thin rounds.
Add the diced beets and cucumber slices to a large serving bowl.
Scatter the crumbled feta cheese over the vegetables.
Sprinkle with freshly chopped dill.
In a separate bowl, whisk together the olive oil, balsamic vinegar, salt, and pepper.
Pour the dressing over the salad.
Gently toss the Beet Salad with Feta, Cucumbers, and Dill until evenly coated.
Serve immediately or chill before serving.