A method for changing an orientation of a machine at a worksite includes controlling, by a controller, a movement of the machine from a first position to a second position along a first route; controlling, by the controller, a movement of the machine from the second position to a third position along a second route; and controlling, by the controller, a movement of the machine from the third position towards the first position along a third route, Each of the first route, the second route, and the third route define respective apexes and combinedly define a region therebetween. One or more of the apexes are directed inwards into the region.