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 13 and 14 metersbetween 13 and 14 meters
B between 15 and 16 metersbetween 15 and 16 meters
C between 17 and 18 metersbetween 17 and 18 meters
D between 18 and 19 metersbetween 18 and 19 meters
E between 20 and 21 meters
Wrong
Let's calculate the distance the puppy runs in one lap:
The puppy is tied to a leash that is 3 meters long. This means the running path for the puppy is a circle with a diameter of 6 meters (since the leash length is the diameter of the circle).
The formula to calculate the circumference of a circle is: C = π * d, where C is the circumference and d is the diameter.
Therefore, the approximate distance the puppy runs in one lap is:
C = π * 6
C ≈ 18.85 meters
Given the available options, the closest one is between 18 and 19 meters.
So the correct answer is:
D between 18 and 19 meters