Question

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
`\pi`

Answer 1

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:

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

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