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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 [tex]\pi[/tex]

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

Respuesta :

20.9m

1) Since we want to know the length of that arc, and the angle is written in degrees, let's use a formula to find this out:

[tex]\begin{gathered} l=\frac{\alpha}{360}\cdot2\pi R \\ l=\frac{150}{360}\cdot2(3.14)\cdot8 \\ l=20.93\approx20.9m \end{gathered}[/tex]

2) Rounding off to the nearest tenth we have the length of this arc is 20.9, m

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