Preheat oven to 375°F. Line a rimmed baking sheet with foil.
Using a 2-inch biscuit or cookie cutter, cut each pita into round. You should get 3 from each pita. Split each round in two. Arrange on baking sheet and bake about 8 minutes or until toasted.
Adjust heat to broil. Top each toasted pita round with ½ teaspoon cranberry sauce and then about 1/2 teaspoon cheddar, dividing it evenly among them.
Broil for 30 seconds to 3 minutes or until cheese is evenly melted. Monitor this closely as they will burn easily. Cool slightly before serving.