Question

The distance from the center of a carousel to the

horses at the outer edge measures 26 feet.
What distance does a horse on the outer edge travel
when the carousel rotates through 13 radians?

Answer 1

`\fbox{\begin{minipage}{3.5em}338 (ft)\end{minipage}}`

Explanation:

The problem could be simplified as following:

Given:

The radius of a circle O is 26 feet.

Solve for:

The length of arc on circle O that measures 13 radians

Solution:

Step 1: Let's find out the correct formula to apply:

The formula to calculate the length of an arc measuring x radians on a circle with radius r feet is:

L = r*x

Step 2: Let's put the data into formula to work out the length L of arc:

L = 26*13 = 338 (ft)

=> The distance that a horse does on the outer edge travel when the carousel rotates through 13 radians: L = 338 (ft)

Hope this helps!

:)