An optoelectronic component has optically active region, with the optically active region comprising at least one semiconductor chip which is provided for generating electromagnetic radiation, and comprising a beam-forming element through which at least a portion of the electromagnetic radiation which is emitted from the semiconductor chip in operation passes and which has an optical axis, and with the optically active region having quadrant symmetry with respect to a coordinate system which is perpendicular to the optical axis. An illumination device has an optoelectronic component such as this.