Arrangement and method for monitoring a tire mounted to the vehicle in which a thermal radiation detecting device detects the temperature of the tire at different circumferential locations along the circumference of the tire. The detected temperatures of the tire are analyzed to determine, for example, whether a difference in thermal radiation is present between the circumferential locations of the tire, and if so, an action is effected in response to the analysis. The thermal radiation detecting devices are preferably supplied with power wirelessly, e.g., through an inductive system, a capacitive system or a radio frequency energy transfer system.