Given:
Given that the radius of the circle is 12 inches.
The angle of the shaded sector is 210°
We need to determine the area of the shaded sector.
Area of the shaded sector:
The area of the shaded sector can be determined using the formula,
[tex]Area =(\frac{\theta}{360}) \pi r^2[/tex]
Substituting [tex]\theta=210[/tex] and r = 12, we get;
[tex]Area =(\frac{210}{360}) (3.142)(12)^2[/tex]
Simplifying, we get;
[tex]Area =(\frac{210}{360}) (3.142)(144)[/tex]
[tex]Area =263.9 \ in^2[/tex]
Thus, the area of the shaded sector is 263.9 square inches.
Hence, Option c is the correct answer.
