Given: central area of 30 degree and radius is 4.
Find: the area of sector.
Explanation: the area of sector will be
[tex]\frac{\theta}{360}\times\pi r^2[/tex][tex]\begin{gathered} \frac{30}{360}\times\pi\times(4^2) \\ =\frac{1}{12}\times\pi\times16 \\ =\frac{4}{3}\pi \end{gathered}[/tex]
Final answer: the required answer is
[tex]\frac{4}{3}\pi[/tex]
