Answer:
Lc = 242 [m]
Explanation:
The circumference is defined as the circumference length of a circle, this length can be calculated by means of the following equation.
[tex]L_{c}=2*\pi *r[/tex]
where:
Lc = circumference length = 220 [m]
r = radius [m]
Now we can clear r
[tex]r=\frac{L_{c}}{2*\pi } \\\\r = \frac{220}{2*\pi }\\\\r = 35.01 [m][/tex]
Now we can determine the outer radius with the inner diameter plus the width of the track.
R = r + 3.5
R = 35.01 + 3.5 = 38.51 [m]
The outer circumference is:
[tex]L_{c} = 2*\pi *38.51 \\L_{c} = 242 [m][/tex]
