Answer: C. [tex] 17.3\ in^2[/tex]
Step-by-step explanation:
The area of a sector with central angle x and radius r is given by :-
[tex]A=\dfrac{x}{360^{\circ}}\times\pi r^2[/tex]
In the given picture, the radius of the circle = 3.7 in.
The central angle =[tex]145^{\circ}[/tex]
Now, the area of the sector in the picture will be :-
[tex]A=\dfrac{145^{\circ}}{360^{circ}}\times\pi (3.7)^2\approx 17.3\ in^2[/tex]
Hence, the approximate area of the shaded sector in the circle = [tex] 17.3\ in^2[/tex]
