Answer
$10.53 \; rad$.
Work Step by Step
The given values are
Wheel diameter $d=6.00 \; m$.
Distance travelled $s=31.6 \; m$.
We know: $r=\frac{d}{2}$.
Plug in the value of $d$.
$ r= \frac{6.00}{2}\; m $
Simplify.
$r= 3.00\; m$
The formula is $s=r\theta$.
Isolate $\theta$.
$\theta=\frac{s}{r}$
$\theta=\frac{31.6 \; m}{3.00\; m}$
Simplify.
$\theta=10.53 \; rad$.
