This document summarizes radical organic chemistry reactions that occur in biological systems. It discusses how free radicals are atoms with unpaired valence electrons that make them highly reactive. Radical reactions proceed in three steps: initiation, propagation, and termination. It provides examples of early discoveries of free radicals in 1900 and 1929. It also discusses how the enzyme ribonucleotide reductase catalyzes the reduction of ribonucleotides to deoxyribonucleotides in DNA synthesis using a radical reaction. Finally, it poses three problems involving mechanisms of radical reactions and the role of antioxidants in interrupting these reactions.