Using shutter speed to capture fast-moving subjects such as dancers is a well-known technique, but you can suffer from underexposed, poorly lit images. In dark concert halls or studios, even with high ISOs, autofocus can struggle and noise can become a problem. A better solution is to use flashguns and wireless triggers, so the flashlights, rather than shutter speed, freeze the action. It sounds complicated, but it’s not. Just note that you are unlikely to use such a set-up during a performance, so you might need to shoot a rehearsal or arrange a dedicated shoot. With a fast flash burst, such as 1/40000sec, the performer will be well lit and sharp, but all else will be darkened.
1 If you can shoot a dancer at rehearsal, or are asked for…