Earth parallel

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

Correct result:

l =  25727 km

Solution:

$$\begin{gathered} N=50^{\circ }\to \text{ rad}=50^{\circ }\cdot {\displaystyle \frac{\pi }{180}}=50^{\circ }\cdot {\displaystyle \frac{3.1415926}{180}}=0.87266=5\pi \mathrm{/}18 \\ R=6370\text{ km } \\ r=R\cdot \cos (N)=6370\cdot \cos (0.8727)\doteq 4094.5571\text{ km } \\ l=2\pi \cdot r=2\cdot 3.1416\cdot 4094.5571=25727\text{ km} \end{gathered}$$

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