Question

The south florida fair has a ferris wheel that contains 24 bench seats as shown below. If radius of the ferris wheel is 36ft, what is the length of arc created by 6 bench seats

Answer 1

6 bench seats creates an arc of 56.52 foot.

Explanation:

We are given the following in the question:

Total number of bench seats in Ferris wheel = 24

Radius of Ferris wheel = 36 feet

We have to find the arc length created by 6 bench seats.

Angle formed by 6 bench seats =

`\theta = (6)/(24)* 360 = 90^\circ`

Arc length =

`(\theta)/(360)* 2\pi r`

Putting values, we get,

`(90)/(360)* 2(3.14)(36) = 56.52\text{ feet}`

Thus, 6 bench seats creates an arc of 56.52 foot.