Question

A car wheel has a 16-inch radius. Through what angle (to the nearest tenth of a degree) does the wheel turn when the car rolls forward 2 ft?

Answer 1

2 ft = (2×12) inches = 24 inches

The arc length of the circle which radius is 16 inches is 24 inches.

$l= \frac{2r\pi\alpha}{360^o} \\ \\24= \frac{2\times 16\pi\alpha}{360^o} \\ \\\alpha = \frac{24\times 360^o }{32\pi} \approx 8.6^o$