If someone exudes a quality or feeling, or if it exudes, they show that they have it to a great extent. The guerrillas exude confidence. Every town, they say, is under their control A dogged air of confidence exuded. = radiate
If something exudes a liquid or smell or if a liquid or smell exudes from it, the liquid or smell comes out of it slowly and steadily. Nearby was a factory which exuded a pungent smell. the fluid that exudes from the cane toad's back