A puppy is tied to a leash in a back yard. His leash is 3 meters long, and he runs around in circles pulling the leash as far as it can go. What is the approximate distance the puppy runs in one lap?
Responses
A between 15 and 16 meters
B between 20 and 21 meters
C between 13 and 14 meters
D between 17 and 18 meters
E between 18 and 19 meters
The puppy is tied to a leash that is 3 meters long, so the diameter of the circle the puppy runs in is approximately 6 meters (twice the length of the leash).
The distance around the circle (circumference) can be found by using the formula:
circumference = π x diameter
Plugging in the approximate diameter of 6 meters, we get:
circumference = π x 6 ≈ 18.85 meters
Therefore, the approximate distance the puppy runs in one lap is between 18 and 19 meters (option E).