Answer
$24 \text{ centimeters}$
Work Step by Step
$\because s = r \theta$
where
$s$: Length of the arc of the circle
$r$: Radius of the circle
$\theta$: Central angle that subtends the arc (in radians)
Use the formula above to obtain:
$r = \dfrac{s}{\theta}$
$r= \dfrac{6}{\frac{1}{4}} = 6 \cdot 4 = \boxed{24 \text{ centimeters}}$
