What is the area of a sector with a central angle of 30° and a radius of 4?

Question

asked May 25, 2023 131k views

1 Answer

Bharath Mg · Answer 1 · 2023-05-31T05:23:47+0000

Given: central area of 30 degree and radius is 4.

Find: the area of sector.

Step-by-step explanation: the area of sector will be

$(\theta)/(360)*\pi r^2$
$\begin{gathered} (30)/(360)*\pi*(4^2) \\ =(1)/(12)*\pi*16 \\ =(4)/(3)\pi \end{gathered}$

Final answer: the required answer is

$(4)/(3)\pi$