Answer:
Francine run 5.495 miles
Step-by-step explanation:
Given :
Francine ran
laps around the circular track in the school gym.
The track has a diameter of 1/2 miles.
To Find : About how far does Francine run?
Solution :
First we need to calculate the perimeter of circular track :
Perimeter of circle : ![2\pi r](https://tex.z-dn.net/?f=2%5Cpi%20r)
Since we are given the diameter = 1/2 miles = 0.5 miles
So, Radius will be (Diameter/2) = 0.5/2 = 0.25 miles
So, The perimeter will be:
![0.5\pi](https://tex.z-dn.net/?f=0.5%5Cpi)
Since ![\pi =3.14](https://tex.z-dn.net/?f=%5Cpi%20%3D3.14)
⇒![0.5*3.14](https://tex.z-dn.net/?f=0.5%2A3.14)
⇒![1.57](https://tex.z-dn.net/?f=1.57)
Thus the circular track is of 1.57 miles .
Since she ran
= 7/2=3.5 laps
1 lap = 1.57 miles
So, 3.5 laps = 1.57*3.5 =5.495 miles .
Hence , Francine run 5.495 miles