Answer
(a) $\frac{4}{3}\ rad.$
(b) $15,000\ cm^2$
Work Step by Step
(a) Use $s=r\cdot \theta$ with $s=200\ cm$ and $r=150\ cm$, we have $\theta=\frac{s}{r}=\frac{200}{150}=\frac{4}{3}\ rad.$
(b) The area of the sector is given by $A=\frac{1}{2}r^2\theta=\frac{1}{2}(150)^2(\frac{4}{3})=15,000\ cm^2$
