Question

a dogs leash is tied to a pole while the owners go into a resturaunt to get the dog some water. if the leash is 7 ft long, and hte dog can walk 180 degrees in a semi circle, how many feet can he walk if he extends the leash as far as it can go.

Answer 1

Answer: 22 ft

Explanation:

The path that the dog can walk if he maximally extends his leash is the path of a semi-circle, which has a radius of 7ft.

The distance along a full circle is given by the circumference of the circle, which is related to the radius. To find the length of the path that the dog walks, we evaluate half the circumference.

`\begin{aligned}&D=(C)/(2) \\&D=(2 \pi r)/(2) \\&D=\pi r \\&D=7 \pi \\&D \approx 22\end{aligned}`

Therefore, the dog can walk about 22 ft if he extends the leash as far as it can go.