Question

Francine ran 3 1/2 laps around the circular track in the school gym. The track has a diameter of 1/2 miles. About how far does Francine run?

Answer 1

Francine run 5.495 miles

Explanation:

Given :

Francine ran
`3(1)/(2)` 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`

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:

`2\pi *0.25`

`0.5\pi`

Since
`\pi =3.14`

⇒
`0.5*3.14`

⇒
`1.57`

Thus the circular track is of 1.57 miles .

Since she ran
`3(1)/(2)` = 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