A car wheel has a 14inch radius Through what angle to the ne

A car wheel has a 14-inch radius. Through what angle (to the nearest tenth of a degree) does the wheel turn when the car rolls forward 4 ft? 206.4degree 201.4 degree 211.4degree 196.4degree

Solution

In 1 circumference wheel rotates by 360degree

Therefore in 2 pi *14 it rotates by 360

So in 1 inch it rotates by 360/(28pi)

4 feet=48 inches

Therefore in 48 inches it rotates ,by 360*48/(28pi)=196.4 degree