Respuesta :

Given:

The radius is 18ft.

The angle is

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

To find:

The length of the arc

Explanation:

The angle in degrees is

[tex]\frac{\pi}{3}\times\frac{180}{\pi}=60^{\circ}[/tex]

Using the formula of the length of the arc is,

[tex]\begin{gathered} s=\frac{\theta}{360}\times2\pi r \\ s=\frac{60}{360}\times2\times\frac{22}{7}\times18 \\ s=18.857 \\ s\approx18.9ft \end{gathered}[/tex]

Final answer:

The length of the arc is 18.9 ft.

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