Respuesta :

Answer

Length of the arc = 33 ft.

Explanation

The length of an arc is given as

[tex]\text{Length of an arc = }\frac{\theta}{360\degree}\times2\pi r[/tex]

where

θ = Angle subtended at the center of the circle by the arc = 210°

π = pi = (22/7)

r = radius of the circle = 9 ft.

[tex]\begin{gathered} \text{Length of an arc = }\frac{\theta}{360\degree}\times2\pi r \\ \text{Length of an arc = }\frac{210\degree}{360\degree}\times2\times\frac{22}{7}\times9=33\text{ ft.} \end{gathered}[/tex]

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