Answer:
Option C is correct.
![38 miles](https://img.qammunity.org/2020/formulas/mathematics/middle-school/8gk2ik06o9kuxutquq90rsuy6q5mgq4jj7.png)
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 =
----------(1)
where
![r=(Diameter)/(2)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/h304dj6macwjlpeg8hxgat9j1q9rwwoyhl.png)
miles
Put
and r value in equation 1.
![circumference = 2* 3.14 1.5](https://img.qammunity.org/2020/formulas/mathematics/middle-school/r55mb0ytokbgtccwa17bk0slwuvn3mqfk6.png)
![circumference = 9.42 mil;es](https://img.qammunity.org/2020/formulas/mathematics/middle-school/6f8y3c555llrbbdxke4knrdqsh0e8vk4eo.png)
The circumference of a circle is 9.42 miles.
And Michelle biked 4 times, that is equal to 4
circumference.
![x = 4* 9.42](https://img.qammunity.org/2020/formulas/mathematics/middle-school/s9r8nd45tskb8asz8soarzxw7xvoi2zhal.png)
.
That is equal to 38 miles.
Therefore, Michelle biked around 4 trail is 38 miles.