To find the radius of the dilated circle, you multiply the original radius by the scale factor.
The original radius is 2 mm and the scale factor is 50.
\[ \text{New Radius} = \text{Original Radius} \times \text{Scale Factor} = 2 , \text{mm} \times 50 = 100 , \text{mm} \]
Therefore, the radius of the dilated circle will be 100 mm.