Answer:
Francine run 5.495 miles
Step-by-step explanation:
Given :
Francine ran [tex]3\frac{1}{2}[/tex] 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 : [tex]2\pi r[/tex]
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:
[tex]2\pi *0.25[/tex]
[tex]0.5\pi[/tex]
Since [tex]\pi =3.14[/tex]
⇒[tex]0.5*3.14[/tex]
⇒[tex]1.57[/tex]
Thus the circular track is of 1.57 miles .
Since she ran [tex]3\frac{1}{2}[/tex] = 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
