Answer
89.17 degrees
or
1.56 rad
Work Step by Step
Given-
radius, r = 9 m
arc, s = 14 m
angle, $\theta$ = ?
We know that -
$\theta$ = $\frac{s}{r}$
= $ \frac{14}{9}$
= 1.56 rad
= $ \frac{14}{9} \times\frac{180}{\pi}$ degrees
= $ \frac{14}{9} \times\frac{180}{3.14}$ degrees
= 89.17 degrees
