Mix lamb, mint, garlic, paprika, cinnamon, cayenne pepper and salt in a medium bowl. Divide meat mixture into four and shape into small patties.
Preheat a gas grill on medium direct heat. Place patties on grill and cook for about 6 to 8 minutes, flipping once until the internal temperature is 145°F for medium-rare or 160°F for medium. (If you’re worried about the fat from the lamb causing a flare up, start patties on a piece of aluminum foil and finish them on the grill (last 2 minutes or so) so that they get nice grill marks.)
Top with feta cheese. Serve hummus and olives alongside.
Notes
* You can make two larger patties instead, you may just need to cook them a bit longer. * Recipe can easily be doubled or tripled.