Answer
$\dfrac{\pi}{3}=1.0472 \approx1.047 \ ft $
and $\dfrac{\pi}{3} \approx1.047 \ ft^2$
Work Step by Step
The arc length is given by:
$=(r) (\dfrac{\theta}{180}) ( \pi)=(2) \cdot (\dfrac{30}{180}) \cdot \pi=\dfrac{\pi}{3}=1.0472 \approx1.047 \ ft $
The area of a sector is given by:
$A=\dfrac{\theta}{360}\cdot \pi \cdot r^2$ ( $\theta$ is in degrees)
Now, $A=\dfrac{30}{360}\cdot \pi \cdot 2^2=\dfrac{120 \pi }{360} =\dfrac{\pi}{3} \approx1.047 \ ft^2$
