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