Answer:
The perimeter of the inside of the track is 444.44 meters
Step-by-step explanation:
The picture of the question in the attached figure
we know that
The perimeter of the inside of the track is equal to two times the length of the straight edge plus two times the circumference of a semicircle
Remember that, two times the circumference of a semicircle is the same that the circumference of a circle
so
The perimeter is equal to
[tex]P=2L+\pi D[/tex]
where
[tex]L=150\ m[/tex] ---> the length of straight edge
[tex]D=46\ m[/tex] ----> the diameter of the circle
[tex]\pi=3.14[/tex]
substitute
[tex]P=2(150)+(3.14)(46)=444.44\ m[/tex]
