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For an arc length s, area of sector A, and central angle θ of a circle of radius r, find the indicated quantity for the given value. r= 6.45 in, θ= 5 pi\6, s=?

For an arc length s area of sector A and central angle θ of a circle of radius r find the indicated quantity for the given value r 645 in θ 5 pi6 s class=

Respuesta :

Calculate the arc length by using the following formula:

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

Replace the values of r and θ and simplify:

[tex]\begin{gathered} s=(6.45in)(5\frac{\pi}{6})=(6.45)(\frac{5}{6})(3.14) \\ s=16.8775in \end{gathered}[/tex]

Hence, the arc length is 16.8775 in

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