Answer:
2513 miles
Explanation:
[tex]\sf Length \ of \ arc = \dfrac{\theta}{360} * 2\pi r[/tex]
Here given:
∅ = 36°
radius = 4000 miles
Insert following:
[tex]\sf \rightarrow \dfrac{36}{360} * 2\pi (4000)[/tex]
[tex]\sf \rightarrow 800\pi \ \ \ (in \ terms \ of \ \pi )[/tex]
[tex]\sf \rightarrow 2513.3 \ \ (rounded \ to \ nearest \ tenth)[/tex]
[tex]\sf \rightarrow 2513 \ \ (rounded \ to \ nearest \ mile)[/tex]
