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?
A) between 13 and 14 meters
B) between 15 and 16 meters
C) between 17 and 18 meters
D) between 18 and 19 meters

Answer 1

The puppy runs a distance of D) 18 - 19 meters in one lap.

Step-by-step explanation:

Step 1; It is given that the leash measures 3 meters long. He runs pulling the leash as much as he can creating circles. Even though he keeps pulling, the leash will remain at a constant length of 3 meters. So we need to calculate the perimeter of the circle.

Step 2; The perimeter of any given circle is 2π times the radius. The radius of this circle is equal to 3 meters.

Perimeter of the circle = 2π × r = 2 × 3.1415 × 3 meters = 18.85 meters.

So the puppy runs a distance of 18.85 meters in a lap.