Answer
(a) $\theta = 0.60~rad$
$\theta = 34.4^{\circ}$
(b) r = 6.27 cm
(c) arc = 1.05 m
Work Step by Step
(a) $\theta~ (2.50~m) = 1.50~m$
$\theta = \frac{1.50~m}{2.50~m}$
$\theta = 0.60~rad$
$\theta = (0.60~rad)(\frac{180^{\circ}}{\pi ~rad})$
$\theta = 34.4^{\circ}$
(b) $\frac{14.0~cm}{\pi ~r}=\frac{128^{\circ}}{180^{\circ}}$
$r = \frac{(14.0~cm)(180^{\circ})}{(\pi)(128^{\circ})}$
$r = 6.27~cm$
(c) $arc = \theta ~r$
$arc = (0.700~rad)(1.50~m)$
$arc = 1.05~m$
