The correct answer is A. Increases.
When a metal plate is heated, the metal expands. This expansion is uniform in all directions, including the radius of the hole. Therefore, the radius of the hole will increase when the plate is heated.
Option B is incorrect because the radius of the hole will not decrease when the plate is heated. Option C is incorrect because the radius of the hole will not remain unchanged when the plate is heated. Option D is incorrect because the radius of the hole will increase when the plate is heated, regardless of the type of metal.