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Convert the radian measure to degreemeasure. Then, calculate the arc length thatcorresponds to a circle with a 35-centimeterdiameter. Round your answer to the nearesttenth.

Convert the radian measure to degreemeasure Then calculate the arc length thatcorresponds to a circle with a 35centimeterdiameter Round your answer to the neare class=

Respuesta :

We will have the following:

First,:

[tex]\frac{4\pi}{15}=\frac{4\pi}{15}\ast\frac{180}{\pi}=48[/tex]

Then, the arc length will be:

[tex]\begin{gathered} s=(\frac{15}{2})(\frac{4\pi}{15})\Rightarrow s=2\pi \\ \\ \Rightarrow s\approx6.3 \end{gathered}[/tex]

So, the arc length is approximately 6.3 cm.

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