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What is the approximate length of arc s on the circle below? Use 3.14 for pi. Round your answer to the nearest tenth.

What is the approximate length of arc s on the circle below? Use 3.14 for pi. Round-example-1
User Lee Kang
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2 Answers

5 votes

\bf \textit{arc's length}\\\\ s=\cfrac{\theta \pi r}{180}~~ \begin{cases} r=radius\\ \theta =angle~in\\ \qquad degrees\\ ------\\ r=12\\ \theta =330 \end{cases}\implies s=\cfrac{(330)(\pi )(12)}{180}\implies s=22\pi
User Cheesetaco
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7.9k points
7 votes

we know that

To find the length of arc S on the circle, use proportion



(central\ angle)/(360\°)= (arc\ length\ s)/(2\pi r)

in this problem we have


central\ angle=330\°\\r=12\ ft\\pi=3.14

substitute


(330\°)/(360\°)= (arc\ length\ s)/(2*3.14*12) \\ \\arc\ length\ s= (330\°*2*3.14*12)/(360\°) \\ \\arc\ length\ s= 69.08\ ft

Round to the nearest tenth


arc\ length\ s= 69.1\ ft

therefore

the answer is


arc\ length\ s= 69.1\ ft

User Don McCurdy
by
9.1k points

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