If a train runs on a circular track of radius 400 meters through all four sections of the park, about how long is the part of the train track that runs through Water World?

Question

asked Jun 21, 2023 138k views

1 Answer

Nari Kim Shin · Answer 1 · 2023-06-27T11:23:23+0000

The arc length is given by:

$s=2\pi r((\theta)/(360))$

In this case the radius is 400 m and the angle is 36°, plugging these values we have:

$\begin{gathered} s=2\pi(400)((36)/(360)) \\ s=251.33 \end{gathered}$

Therefore, the part of the train track that runs through water world is approximately 250 meters.