Question

PLEASE MATH HELP!!

Answer 1

General Idea:

The formula to find the area of sector (A) when central angle (θ) is given is provided below:

$[tex] Area \; of\; Sector\; (A)=\frac{\theta}{360} \times Area \; of \; Circle$[/tex]

Applying the concept:

We need to substitute $30^{\circ}$ for $\theta$ and $96\pi$ for Area of Circle in the above formula in order to get the area of sector (A).

$Area \; of\; Sector\; (A)=\frac{30}{360} \times96\pi =\frac{2880\pi}{360} =8\pi$

Conclusion:

The area of a 30º sector of this circle whose area is $96\pi \; m^2$ is $8\pi \;m^2$.

Answer 2

30 degrees / 360 degrees = 0.0833

0.0833 * 96 = 8

 answer is 8π m²