Respuesta :

Solution

For this case we have the following:

r= 5 mi

angle = 6 radians

The total circumference is given by:

[tex]C=2\pi(5mi)=10\pi mi[/tex]

The entire cycle has:

[tex]2\pi[/tex]

then we can create this relation_

[tex]\frac{6}{2\pi}[/tex]

And we can find the answer as:

[tex]\text{Arclenght}=10\pi\cdot(\frac{6}{2\pi})=\frac{60\pi}{2\pi}=30mi[/tex]

then the answer is 30 mi

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