Question

Ryan is training his horse, Sir Henry, by walking him in a circular path around a corral. Sir Henry is tethered to an anchor with a 16.5-meter rope.

Answer 1

Answer:

40.3 meters.

Explanation:

The length of the rope is 16.5 meters, therefore:

• The radius of the circular path = 16.5 meters

• The central angle = 140 degrees

The distance Sir Henry walked is the length of the arc colored in blue.

$\begin{gathered} \text{Length of an arc=}\frac{\theta}{360\degree}\times2\pi r \\ \theta=140\degree \\ r=16.5m \end{gathered}$

Therefore, the distance walked is:

$\begin{gathered} \text{Length of an arc=}\frac{140}{360\degree}\times2\times\pi\times16.5 \\ =40.317 \\ \approx40.3\text{ meters} \end{gathered}$

Sir Henry has walked approximately 40.3 meters.