Respuesta :

Given:

The radius of circle is r = 13 ft.

The arc length is 19 pi feet.

Explanation:

The formula for the arc length is,

[tex]s=r\theta[/tex]

Here, angle is in radians.

Substitute the values in the formula to determine the measure of angle.

[tex]\begin{gathered} 19\pi=13\cdot\theta \\ \theta=\frac{19\pi}{13} \end{gathered}[/tex]

So angle in radians is,

[tex]\frac{19\pi}{13}\text{ radians}[/tex]

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