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A circle has a radius of \blue{6}6start color #6495ed, 6, end color #6495ed. An arc in this circle has a central angle of 330^\circ330∘330, degrees. What is the length of the arc? Either enter an exact answer in terms of \piπpi or use 3.143.143, point, 14 for \piπpi and enter your answer as a decimal.

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Answer:

11 pi

Step-by-step explanation:

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The length of arc is [tex]11.04\pi[/tex]

Central angle :

Given that, radius of circle is 6 unit.

And an arc in this circle has a central angle of 330 degree.

First we have to convert given angle into radian.

           330 degree [tex]=330*\frac{\pi}{180} =1.84\pi[/tex]

As we know that,

             angle  [tex]\theta=\frac{Arc}{radius}\\[/tex]

Substitute values in above relation.

                  [tex]Arc=1.84\pi *6\\\\Arc=11.04\pi[/tex]

Thus, the length of arc is [tex]11.04\pi[/tex]

Learn more about the arc length here:

https://brainly.com/question/2005046

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