Answer: 3491.91 radians
Step-by-step explanation:
The total distance in inches traveled by car = 63,360 inches (1 mile)
Total Revolution made by tire through traveling =
[tex]=\frac{63360}{\pi *36.30}[/tex]
We know 1 revolution angle made by tire = 2π radian (360 degrees/1 revolution of unit circle)
In [tex]\frac{63360}{\pi *36.30}[/tex] ,
the revolution angle made by the tire =
[tex]=2\pi * \frac{63360}{\pi 36.60}[/tex]
[tex]=2 * \frac{63360}{ 36.60}[/tex]
[tex]= 3491.91[/tex] radian