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 12 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

18.8 mi.
18.8 mi.

3.1 mi.
3.1 mi.

0.8 mi.
0.8 mi.

1.6 mi.
1.6 mi.

1 answer

To find the distance around the circular path (the circumference), we can use the formula for the circumference of a circle:

\[ C = \pi \times d \]

where \(C\) is the circumference and \(d\) is the diameter of the circle.

Here, the path across the middle (the diameter) is given as 12 miles.

Now, we can calculate the circumference:

\[ C = \pi \times 12 \]

Using the approximate value of \(\pi \approx 3.14\):

\[ C \approx 3.14 \times 12 \approx 37.68 \]

Rounding to the nearest tenth:

\[ C \approx 37.7 \text{ miles} \]

However, this value does not appear in the provided options, indicating that the diameter may have been meant to indicate a shorter value than 12 (actually 1.2 miles) instead.

Since we are finding a context that might refer to the problem as laid out and it appears there was a context error, let’s attempt it with a diameter that fits the provided options.

If we consider the diameter as exactly 1.2 miles instead:

\[ C = \pi \times 1.2 \] \[ C \approx 3.14 \times 1.2 \approx 3.768 \]

Round to the nearest tenth:

\[ C \approx 3.8 \text{ miles} \]

Now corresponding closest to the choices would be related to actually 3.1 miles.

Thus, based on confirmation of diameter length and reassessment:

Final answer would most likely be reviewed and possibly giving as 3.1 miles. Please confirm it again directly with the given data’s alignment from wording context to reaffirm or clarify from Jamila’s aspect of values given.