To find the distance all the way around the circular path, we need to determine the circumference of the circle. The problem states that there is a path across the middle, indicating the diameter of the circle is 1/2 mile. The formula for the circumference of a circle is:
\[ C = \pi d \]
where \(d\) is the diameter and \(C\) is the circumference.
Given that the diameter \(d\) is \(0.5\) miles, we can substitute this value into the formula:
\[ C = \pi \times 0.5 \] \[ C \approx 3.14159 \times 0.5 \approx 1.570795 \]
Now, we round \(1.570795\) to the nearest tenth of a mile:
\[ 1.570795 \approx 1.6 \]
Thus, the distance all the way around the circular path is approximately:
\[ \boxed{1.6} \text{ miles} \]
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