Jamila wants to walk with her friend at the park but isn’t sure how long the course is. She knows it is a circular path with a walkway through the middle, and the path across the middle is 1/2

Question

of a mile. What is the distance all the way around the circle? Give the answer to the nearest tenth of a mile.(1 point)
Responses

1.6 mi.
1.6 mi.

0.8 mi.
0.8 mi.

3.1 mi.
3.1 mi.

18.8 mi.
18.8 mi.

Answer 1

To find the distance all the way around the circular path, we need to determine the circumference of the circle. The diameter of the circular path is given as 1/2 mile.

The formula for the circumference \( C \) of a circle is:

\[ C = \pi \times d \]

where \( d \) is the diameter. In this case, we have:

\[ d = \frac{1}{2} \text{ mile} \]

Now, substituting this value into the formula:

\[ C = \pi \times \frac{1}{2} \approx 3.14 \times \frac{1}{2} \approx 1.57 \text{ miles} \]

Rounding to the nearest tenth of a mile, we find:

\[ 1.57 \text{ miles} \approx 1.6 \text{ miles} \]

Thus, the distance all the way around the circle is 1.6 miles.