Answer: The radius of the track = 0.64 mi
Step-by-step explanation:
Fr circular track , Total distance covered around it = (Number of laps) x (Circumference)
As per given,
32 mi = 8 x (Circumference)
Circumference = [tex]\dfrac{32\ mi}{8}=4\ mi[/tex]
Also, Circumference = [tex]2\pi r[/tex] , where r= radius so,
[tex]2\pi r=4\ mi\\\\\Rightarrow\ r=\dfrac{4}{2\pi}\\\\\Rightarrow\ r=\dfrac{2}{\pi}[/tex]
Put [tex]\pi= 3.14[/tex]
[tex]r=\dfrac{2}{3.14}\approx0.64\ mi[/tex]
Hence, the radius of the track = 0.64 mi
