Answer:
A) [tex]3 m^{2}[/tex]
Step-by-step explanation:
We are given the area of the circle = 12 [tex]m^{2}[/tex]
The central angle and the arc length = 90°
Therefore, the shaded region is quarter circle. Which is quarter of the whole circle.
So, we can find the shaded sector area dividing 12 by 4.
Area of the shaded sector = [tex]\frac{12}{4}[/tex]
= [tex]3 m^{2}[/tex]
Therefore, the answer is A) [tex]3 m^{2}[/tex]
