Question
Wyatt wants to walk at the park, but doesn't know how long the path is. He knows it is a circular path with a sidewalk through the middle. The sidewalk through the middle is half a mile long. How far is it to walk all the way around the circular path? Round your answer to one decimal place. (1 point)
Responses
1.6 mi.
1.6 mi.
3.1 mi.
3.1 mi.
.8 mil
.8 mil
18.8 mi
18.8 mi
Responses
1.6 mi.
1.6 mi.
3.1 mi.
3.1 mi.
.8 mil
.8 mil
18.8 mi
18.8 mi
Answers
GPT-4o mini
To find the distance to walk all the way around the circular path, we first need to understand the relationship between the diameter and the circumference of a circle. The formula for the circumference \( C \) of a circle is given by:
\[ C = \pi \times d \]
where \( d \) is the diameter of the circle.
Given that the sidewalk through the middle is half a mile long, this means the diameter of the circular path is 0.5 miles.
Now, we can calculate the circumference using the formula:
\[
C = \pi \times 0.5
\]
Assuming \( \pi \approx 3.14 \):
\[
C \approx 3.14 \times 0.5 = 1.57 \text{ miles}
\]
Rounding to one decimal place gives us:
\[
C \approx 1.6 \text{ miles}
\]
Therefore, the distance to walk all the way around the circular path is approximately **1.6 miles**.
\[ C = \pi \times d \]
where \( d \) is the diameter of the circle.
Given that the sidewalk through the middle is half a mile long, this means the diameter of the circular path is 0.5 miles.
Now, we can calculate the circumference using the formula:
\[
C = \pi \times 0.5
\]
Assuming \( \pi \approx 3.14 \):
\[
C \approx 3.14 \times 0.5 = 1.57 \text{ miles}
\]
Rounding to one decimal place gives us:
\[
C \approx 1.6 \text{ miles}
\]
Therefore, the distance to walk all the way around the circular path is approximately **1.6 miles**.