Chef John's Pita Bread

Details

Ingredients

• 1 (.25 ounce) package active dry yeast
• 1 cup warm water (90 to 100 degrees F/32 to 38 degrees C)
• 1 cup all-purpose flour
• 1 ½ tablespoons olive oil
• 1 ¾ teaspoons salt
• 1 ¾ cups all-purpose flour, or more as needed
• 1 teaspoon olive oil, divided