Answer
$4.71\text{ cm}^{2}$
Work Step by Step
We have:
radius $r=3\text{ cm}$
central angle $\theta=60^{\circ}=\frac{\pi}{3}\text{ radians}$
The area of a sector is given by the formula $A=\frac{1}{2}r^{2}\theta$.
Use this formula to obtain:
$A=\frac{1}{2}\times (3\text{ cm})^{2}\times \frac{\pi}{3}$
$A=\frac{3\pi}{2}\text{ cm}^{2}\approx4.71\text{ cm}^{2}$
Thus, the area of the sector rounded to two decimal places is $4.71\text{ cm}^{2}$.
