Earth parallel

Earth's radius is 6370 km long. Calculate the length parallel of latitude 50°.

Result

l =  25727 km

Solution:

N=50∘→ rad=50∘⋅ π180 =50∘⋅ 3.1415926180 =0.87266=5π/18 R=6370 km r=R⋅ cos⁡(N)=6370⋅ cos⁡(0.8727)≐4094.5571 km l=2π⋅ r=2⋅ 3.1416⋅ 4094.5571≐25726.8608≐25727 kmN=50 ^\circ \rightarrow\ \text{rad}=50 ^\circ \cdot \ \dfrac{ \pi }{ 180 } \ =50 ^\circ \cdot \ \dfrac{ 3.1415926 }{ 180 } \ =0.87266=5π/18 \ \\ R=6370 \ \text{km} \ \\ r=R \cdot \ \cos(N)=6370 \cdot \ \cos(0.8727) \doteq 4094.5571 \ \text{km} \ \\ l=2 \pi \cdot \ r=2 \cdot \ 3.1416 \cdot \ 4094.5571 \doteq 25726.8608 \doteq 25727 \ \text{km}

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