Answer
Required length of arc = 8.37 m
Work Step by Step
Given-
angle, $\theta$ = $ 40 $ degrees = $(40\times\frac{\pi}{180})$ rad = $\frac{2\pi}{9}$ rad
radius, r = 12 m
arc, s = ?
We know that -
s = r $\theta$
= $ 12 \times \frac{2\pi}{9}$
= $ 12\times \frac{2\times3.14}{9}$
= 8.37 m