Answer:
Option C is correct.
[tex]38 miles[/tex]
Step-by-step explanation:
Let x be the distance cover by Michelle
Given:
A circle diameter is 3 miles.
And Michelle biked around the trail 4 times.
We know that
The circumference of a circle.
circumference = [tex]2\pi r[/tex]----------(1)
where [tex]r=\frac{Diameter}{2}[/tex]
[tex]r=\frac{3}{2} \\r=1.5[/tex] miles
Put [tex]\pi =3.14[/tex] and r value in equation 1.
[tex]circumference = 2\times 3.14 1.5[/tex]
[tex]circumference = 9.42 mil;es[/tex]
The circumference of a circle is 9.42 miles.
And Michelle biked 4 times, that is equal to 4 [tex]\times[/tex] circumference.
[tex]x = 4\times 9.42[/tex]
[tex]x = 37.65 miles[/tex].
That is equal to 38 miles.
Therefore, Michelle biked around 4 trail is 38 miles.
