Answer
$291 \ cm$
Work Step by Step
First we change the angle to radians as follows
$$
1028^o=1028\times \frac{\pi}{180} \ rad=17.942 \ rad
.$$
Now, the distance that the wheel travels is given by
$$
s=r\theta=16.2\times 17.942 =290.66 \ cm\approx 291~cm
.$$
