Question

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 18 and 19 metersbetween 18 and 19 meters
B between 20 and 21 metersbetween 20 and 21 meters
C between 17 and 18 metersbetween 17 and 18 meters
D between 13 and 14 metersbetween 13 and 14 meters
E between 15 and 16 meters

Answer 1

explain

Answer 2

but that is an incorrect statement

Answer 3

E between 15 and 16 meters

Answer 4

The puppy is tied to a 3-meter-long leash and runs around in a circle, which means the leash's length is the circle's radius. The distance the puppy runs in one lap is equivalent to the circle's circumference, which is 2πr, where r is the leash length.

So, in this case, the distance the puppy runs in one lap is approximately 2π(3) = 18.85 meters, which falls between options E, between 15 and 16 meters.

Answer 5

I apologize for the error in my previous response. The correct distance the puppy runs in one lap is equal to the circumference of the circle with a radius of 3 meters, which can be calculated using the formula:

C = 2πr

Here, r = 3 meters, so:

C = 2π(3) ≈ 18.85 meters

Therefore, the approximate distance the puppy runs in one lap is about 18.85 meters, which falls between options A, between 18 and 19 meters. Again, I apologize for any confusion caused by my previous response.