Answer
The length of the arc is 15,7 km
Explain
Form :
[tex] =2 \times \pi \times {r} \times \frac{ \alpha \degree}{360 \degree} \\ [/tex]
.
Solve :
[tex] = 2 \times \pi \times r \times \frac{ \alpha \degree}{360 \degree} \\ [/tex]
[tex] = 2 \times 3.14 \times 10 \times \frac{90}{360} \\ [/tex]
[tex] = 2 \times 31.4 \times 1 \times \frac{ \cancel{90}}{ \cancel{360}} \\ [/tex]
[tex] = \cancel2 \times 31.4 \times \frac{1}{ \cancel4} \\ [/tex]
[tex] = 31.4 \times \frac{1}{2} \\ [/tex]
[tex] = \frac{31.4}{2} \\ [/tex]
[tex] = 15.7 \: km[/tex]
.
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