An extrusion method and an extruder, the material to be extruded being fed with a material feeding device (1) into a radial pump unit included in the equipment. The radial pump unit comprises conical gearwheels (2) which are adjacently positioned and rotate in opposite directions. The radial pump unit transfers the material in an annular flow into the extruder's nozzle (4). Additional material (20) can be supplied into the product through the radial pump unit.