Answer:
5.497787144 miles
Explanation:
Remember that circumference of a circle can be calculated with:
![2\pi r](https://img.qammunity.org/2019/formulas/mathematics/high-school/jhdglegdp0bp4jbht0148gdozx54cy94g7.png)
r=radius
We also know that the radius is just a half of the diameter.
So, the radius of the track is (1/2)/2=1/4 miles
Now, use the circumference of a circle formula to find how much she runs in 1 lap.
![2\pi ((1)/(4) )](https://img.qammunity.org/2019/formulas/mathematics/high-school/d0cbbtpu3c13l8bgvob1x1gf06y0s6uiuj.png)
Simplify
![(\pi )/(2)](https://img.qammunity.org/2019/formulas/mathematics/high-school/5dduzhydxabn4qt9q03f2anotq2p6q2kf0.png)
This is how much she runs in 1 lap.
Multiply by 3.5 for 3 and a half laps.
![(\pi )/(2)*3.5](https://img.qammunity.org/2019/formulas/mathematics/high-school/e5lyw76yxjlgllpu0izu0jx6vwxg60x747.png)
The answer is around 5.497787144 miles.