Question

The outside of a ballpark has a circular path that has a radius of (8)/(5\pi )km. If Katie starts at one point and walks continuously in one direction for a total of 4.8km, how many times does she walk around the entire park?

Answer 1

To calculate the number of times Katie walks around the park, find the circumference of the circular path using the given radius and then divide the total distance Katie walks by this circumference. Katie walks around the park 1.5 times.

Step-by-step explanation:

The student's question involves calculating how many times Katie walks around the entire park given the circumference of the circular path. The radius of the circular path is given as (8)/(5π) km. The formula for finding the circumference of a circle is C = 2πr. By plugging in the radius, we get C = 2π(8/5π) km = 16/5 km. Katie walks a total distance of 4.8 km, so we divide this distance by the circumference to find the number of times she walks around the park: 4.8 km ÷ (16/5) km = 4.8 km ÷ 3.2 km = 1.5 times around the park. Therefore, Katie walks around the park one and a half times.