the radius of the circle is r = 12 in
the area of the circle is,
[tex]\pi\times r^2=\frac{22}{7}\times12^2[/tex][tex]=\frac{22}{7}\times12\times12[/tex]we know that the point angle of the circle is 360 degrees
so,
total area is representing 360 degrees
so,
the area of the shaded sector is,
[tex]=\frac{\frac{22}{7}\times12\times12}{360}\times210[/tex][tex]=264in^2[/tex]thus, the correct answer is option D