Question

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?

Answer 1

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.