Answer: B. [tex]5.09\ cm^2[/tex]
Step-by-step explanation:
From the given figure it can be seen that half of the circle (sector with[tex]180^{\circ}[/tex] is the semicircle ) is shaded, therefore, the area of the shaded region is given by :-
[tex]\text{Area of the shaded region}=\frac{1}{2}\text{Area of the circle}[/tex]
Also, the radius of the circle = [tex]\frac{3.6}{2}1.8\ cm[/tex]
Now, the area of the shaded sector in the circle is given by :-
[tex]\text{Area of the shaded region}=\frac{1}{2}\pir^2\\\\\Rightarrow\text{Area of the shaded region}=\frac{1}{2}(3.14)(1.8)^2\\\\\Rightarrow\text{Area of the shaded region}=5.0868\approx5.09\ cm^2[/tex]
Hence, the approximate area of the shaded sector in the circle=[tex]5.09\ cm^2[/tex]
