7) The complete circle is 360 degrees
This means that
1 revolution = 360 degrees
Thus, 1/4 revolution = 1/4 x 360 = 90 degrees
The distance traveled by the vehicle is calculated by applying the formula,
s = θr
where
s is the distance traveled
r is the radius of the circle
θ is the angle in radians
From the information given,
diameter = 40
radius = diameter/2 = 40/2
r = 20
We would convert 90 degrees to radians
Recall,
360 degrees = 2πradians
360/2 = πradians
180 degrees = πradians
90 degrees = 90 x πradians/180 = 90 x 3.14 x radians/180 = 1.57 radians
Distance = 1.57 x 20
Distance traveled by car = 31.4 m
