Combine flour, olive oil, yeast, salt, and sugar in a food processor. Process for 1-2 minutes, adding 2 cups of water, a little at a time, until the mixture forms a ball and is slightly sticky to the touch. 

Turn the dough onto a floured work surface and knead by hand to form a smooth ball of dough. Put the dough in a bowl and cover with plastic wrap, and let the dough rise for 1.5 hours until it doubles in size.

When the dough is ready, form it into a ball and cut into 6 pieces. Roll each piece into a round ball, and roll each ball out to 1/4 inch thickness, using flour to prevent sticking as needed.

Bake each disk, one at a time, over medium heat in a skillet. Bake each disk for 5 minutes, or until both sides are lightly browned, turning the disk over to make sure both sides bake evenly.

Serve immediately with your favorite dip, or let pitas cool and store in plastic bags. Reheat gently before using.