A router is a versatile tool that can be used for various purposes in woodworking. Firstly, one can use a router for shaping and profiling wood. By attaching different router bits, one can create intricate designs or decorative edges on wooden surfaces. Secondly, a router can be used for joinery, allowing woodworkers to create strong and precise connections between pieces of wood. This is particularly useful in creating cabinets or furniture with hidden joints for a seamless finish. Lastly, a router can also be used for cutting patterns or templates by using a straight bit guided along a template to create multiple identical shapes.