Respuesta :

Given:

VW = 5

m∠WVX = 60 degrees

Let's find the length of arc WX.

To find the length of arc WX, apply the formula below.

Apply the formula:

[tex]L=2\pi r\times\frac{\theta}{360}[/tex]

Where:

r is the radius = 5

θ is the measure of the central angle = 60 degrees.

Hence, we have:

[tex]\begin{gathered} L=2\pi\times5\times\frac{60}{360} \\ \\ L=10\pi\times\frac{1}{6} \\ \\ L=\frac{10}{6}\pi \\ \\ L=\frac{5}{3}\pi \end{gathered}[/tex]

Therefore, the length of arc WX is:

[tex]\frac{5}{3}\pi[/tex]

ANSWER:

[tex]\frac{5}{3}\pi[/tex]

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