Answer: A) [tex]7.26\ in^2[/tex]
Step-by-step explanation:
From the given figure, Diameter of circle = 4.3 in.
Radius of the circle = [tex]\frac{4.3}{2}\ in.[/tex]
Central angle = Measure of arc = [tex]\theta=180^{\circ}[/tex]
The area of sector of a circle is given by :-
[tex]\text{Area of sector}=\frac{\theta}{360^{\circ}}\times\pi r^2\\\\\Rightarrow\text{Area of sector}=\frac{180^{\circ}}{360^{\circ}}\times(3.14)(\frac{4.3}{2})^2\\\\\Rightarrow\text{Area of sector}=\frac{1}{2}(3.14)(\frac{18.49}{4}\\\\\Rightarrow\text{Area of sector}=7.257325\approx7.26\ in^2[/tex]
Hence, the approximate area of the shaded sector in the circle = [tex]7.26\ in^2[/tex]
