In this question the main part is to convert the kilometer to miles and
then writing the answer to the nearest tenth of a mile. the information
given in the question is that the race is for a distance of 5
kilometers.
Now we already know
1 km = 0.6214 mile
Then
5 km = ( 0.6214 * 5) miles
= 3.107 miles
= 3.11 miles
So
the actual distance when converted to miles will be 3.11 miles. I hope
this is the answer you were looking for. This is the simplest way for
doing such problems and in future you can follow this method to find the
answers without the need of any help.
Answer:
5.497787144 miles
Step-by-step explanation:
Remember that circumference of a circle can be calculated with:
![2\pi r](https://tex.z-dn.net/?f=2%5Cpi%20r)
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 (\frac{1}{4} )](https://tex.z-dn.net/?f=2%5Cpi%20%28%5Cfrac%7B1%7D%7B4%7D%20%29)
Simplify
![\frac{\pi }{2}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Cpi%20%7D%7B2%7D)
This is how much she runs in 1 lap.
Multiply by 3.5 for 3 and a half laps.
![\frac{\pi }{2}*3.5](https://tex.z-dn.net/?f=%5Cfrac%7B%5Cpi%20%7D%7B2%7D%2A3.5)
The answer is around 5.497787144 miles.