Answer:
C) 314 feet.
Step-by-step explanation:
We have been given that a circular track is 100 feet across. We are asked to find the distance around the track.
The distance around the track would be equal to circumference of circle.
[tex]\text{Circumference of circle}=2\pi r[/tex], where r represents radius of circle.
Since we have been given across distance, so it will be diameter of track.
To find radius we will divide across distance by 2.
[tex]r=\frac{100\text{ ft}}{2}=50\text{ ft}[/tex]
Upon substituting our given values in circumference formula, we will get:
[tex]\text{Circumference of circle}=2\times 3.14\times 50\text{ ft}[/tex]
[tex]\text{Circumference of circle}=100\times 3.14\text{ ft}[/tex]
[tex]\text{Circumference of circle}=314\text{ ft}[/tex]
Therefore, the distance around the track is 314 feet and option C is the correct choice.
