Question

a dog is tied to a wooden stake in the backyard. his chain is 18.6 feet long and he runs around in circles pulling the leash as far as it can go. if he runs around the circle 10 times, how far has he run

Answer 1

The dog ran 1,168.1 feet, approximately.

Explanation:

Givens

• The chain is 18.6 feet long.

Notice that the chain represents the radius of the circle trajectory, because the dog is running pulling the leash as far as it can go.

So, the radius of the circle is 18.6 feet long.

Now, the length of the circumference is

`L=2 \pi r`

Replacing the radius, we have

`L=2(3.14)(18.6)\\L=116.81 ft`

So, one lap is equal to 116.81 feet. But the dog ran 10 times, which means it ran a total distance of

`d=10(116.81ft)=1168.1 \ ft`

Therefore, the dog ran 1,168.1 feet, approximately.