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Sagot :
Given:
Central angle: 5°
r = 3959 mi
Converting radius from miles to km;
1 mile = 1.609km; then:
3959 x 1.609 = 6370.031 km
• Arc length in degrees:
[tex]\begin{gathered} \frac{\theta}{360\text{\degree}}\text{ x 2}\pi r \\ arclength\text{ = }\frac{5\text{\degree}}{360\text{\degree}}\text{ x }2\pi(6370.031)\text{ = }555.89\text{ km} \end{gathered}[/tex]• Arc length in radians:
[tex]\begin{gathered} \frac{\theta\text{ x }\pi}{180\text{\degree}}\text{ x r} \\ \text{arc length = }\frac{5\text{ x }\pi}{180\text{ \degree}}\text{ x 6370.031 = }555.89\text{ km} \end{gathered}[/tex]• In Nautical Miles:
1nm = 1.852km
? nm = 555.89 km
[tex]\frac{1\text{ x 555.89}}{1.8252}=\text{ 300.156 nautical miles}[/tex]
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