To evaluate \(\cos 50^\circ\) and round it to the nearest hundredth, you can use a scientific calculator or trigonometric tables.
Using a calculator, you find:
\[ \cos 50^\circ \approx 0.6428 \]
Rounding this to the nearest hundredth gives:
\[ \cos 50^\circ \approx 0.64 \]
Therefore, the answer is \(\boxed{0.64}\).