Boa constrictor

The boa will first attack its prey by sinking its teeth into it and then begin to wrap its body around it.

An excerpt from the article 17 facts about Boa constrictor

Only when the victim dies does the boa continue to eat, consuming its prey whole. Contrary to what the name of these animals may imply, the victims are most often killed by blocking the circulation to major body organs such as the brain and heart, rather than by strangulation.