Answer
$25.8\;cm$.
Work Step by Step
Diameter $d=15.2\; cm$.
Turning angle $θ=3.40\;rad$.
We know that the radius $r=\frac{d}{2}$.
$r=\frac{15.2 \;cm}{2}$
Simplify.
$r=7.6\; cm$
The formula is $s=rθ$.
Where s is the distance travelled by a point on the surface of the wheel.
Plug all values.
$s=(7.6\; cm)(3.40)$
Simplify and correct to one decimal place.
$s=25.8\;cm$.