Question

Find the area of the shaded sector. Round to the nearest tenth and use 3.142 or the pi button on your calculator for pi.

Answer 1

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,

$Area =(\frac{\theta}{360}) \pi r^2$

Substituting $\theta=210$ and r = 12, we get;

$Area =(\frac{210}{360}) (3.142)(12)^2$

Simplifying, we get;

$Area =(\frac{210}{360}) (3.142)(144)$

$Area =263.9 \ in^2$

Thus, the area of the shaded sector is 263.9 square inches.

Hence, Option c is the correct answer.