Answer:
B. 17
Step-by-step explanation:
We have been given that Maria is placing a barrier around the edge of a circular path with a diameter of 13 meters.
Since we know that circumference of a circle equals [tex]2\pi r[/tex], where,
r= Radius of the circle.
Since we have been given the diameter of the circular path, so let us divide our given diameter by 2 to find radius of our circular path.
[tex]\text{Radius of circular path}=\frac{13}{2}=6.5[/tex]
Let us find the circumference of our circular path.
[tex]\text{Circumference of circular path}=2*3.14*6.5[/tex]
[tex]\text{Circumference of circular path}=40.82[/tex]
Since circumference of circular path is 40.82 meters, so to find the number of pieces of barrier we will divide circumference of circular path by length of each barrier.
[tex]\text{Number of barriers used}=\frac{40.82}{2.5}[/tex]
[tex]\text{Number of barriers used}=16.328[/tex]
As the barrier will be used as a whole piece, therefore, Malia needs 17 pieces of barrier and option B is the correct choice.
