The administration of local anesthesia involves the use of an anesthetic agent, which is often a medication like lidocaine or bupivacaine. The method of delivery can vary depending on the type of procedure and the location of the area to be numbed. For instance, in a skin biopsy, a local anesthetic might be injected directly into the skin around the biopsy site. In contrast, a nerve block might be used to numb a larger area, such as a limb, by targeting a specific nerve.