For a decent definition of free radicals try
https://www.ncbi.nlm.nih.gov/pmc/articles/pmc3249911/. While some free radicals are indeed the product of metabolism, there are a lot of other ways to get some in you.
Stuff like tobacco smoke byproducts, lead, arsenic, chromium are also free radicals in that they will cheerfully combine chemically with stuff like DNA and cause it to mutate.
No, distance running does not cause cancer, sorry.