Answer:
5.497787144 miles
Step-by-step explanation:
Remember that circumference of a circle can be calculated with:
[tex]2\pi r[/tex]
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.
[tex]2\pi (\frac{1}{4} )[/tex]
Simplify
[tex]\frac{\pi }{2}[/tex]
This is how much she runs in 1 lap.
Multiply by 3.5 for 3 and a half laps.
[tex]\frac{\pi }{2}*3.5[/tex]
The answer is around 5.497787144 miles.
