1. Preheat oven to 350°.
2. Combine first 5 ingredients in a large bowl, stirring well with a whisk. Add farro; toss gently to combine.
3. Combine tomato and next 4 ingredients (through salt) in a medium bowl. Let stand 10 minutes. Add tomato mixture to farro mixture; toss gently to combine.
4. Split pita into 2 rounds; cut each round into 6 wedges. Lightly coat pita with cooking spray; sprinkle with paprika. Arrange pita wedges on a baking sheet; bake at 350° for 15 minutes or until crisp.
5. Combine yogurt, 2 tablespoons water, cream cheese, and feta, stirring with a whisk. Serve with farro salad and pita chips.