A tungsten wire has a radius of 0.089 mm and is heated from 20.0 to 1362 oC. The temperature coefficient of resistivity is ? = 4.5 x 10-3 (Co)-1. When 100 V is applied across the ends of the hot wire, a current of 1.8 A is produced. How long is the wire? Neglect any effects due to thermal expansion of the wire.