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A sprinkler rotates back and forth from point A to point B. The water reaches 8 meters from the base of the sprinkler. What is the length of the arc AB, rounded to the nearest tenth of a meter? Use 3.14 for it pi.

A sprinkler rotates back and forth from point A to point B The water reaches 8 meters from the base of the sprinkler What is the length of the arc AB rounded to class=


Answer :

Length of the given arc can be given as,

[tex]\begin{gathered} l=r\theta \\ l=8\times150\times\frac{\pi}{180} \\ l=\frac{8\times15\times\pi}{18} \\ l=20.94 \end{gathered}[/tex]

Hence, option D is correct.

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