Wrong. After a recent trip to the eye doctor, I found out my contacts aren't enough protection because they only protect the part of the eye they cover, leaving the rest exposed to the harmful rays. A closer look at my lenses' packaging revealed this:
"UV-absorbing contact lenses are NOT substitutes for protective UV-absorbing eyewear such as UV-absorbing goggles or sunglasses because they do not completely cover the eye and surrounding area."
I wear a hat when I run on super-bright days, but since sun still gets in my eyes, I figure it's not providing me with 100 percent protection. Aside from running in the dark (which isn't the safest option), it looks like I'm resigned to learning to deal with sunglasses. And if you have a suggestion for a great pair to try, let me know!