Citizen App video shows several patrol cars at the scene at 414 Beach 58th St. in Far Rockaway.
Police responded to call for a dangerous animal at the location around 9 p.m.
When officers arrived, they discovered a pit bull biting a female victim. They then fired their weapon and struck the dog.
Officials say the victim suffered a laceration after being bit, and was taken to Jamaica Hospital in stable condition.
The pit bull is in critical condition.
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