New York City is about 162 times smaller than North Carolina.

North Carolina is approximately 126,161 sq km, while New York City (including all five boroughs: Manhattan, Brooklyn, Queens, The Bronx, and Staten Island) is approximately 781 sq km, making New York City 0.62% the size of North Carolina.
Tip: This to-scale comparison of North Carolina vs. New York City uses the Mercator projection, which distorts the size of regions near the poles.