Question

What is the area of the SHADED sector of the circle?

36 pi units2
8 pi units2
4 pi units2
81 pi units2

Answer 1

Given:

Given that H is the center of the circle.

The radius of the circle is 9 units.

The measure of ∠JHG is 160°

We need to determine the area of the shaded sector of the circle.

Area of the shaded sector of the circle:

The area of the shaded sector of the circle can be determined using the formula,

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

Substituting $\theta=160$ and r = 9, we get;

$Area = (\frac{160}{360}) \pi (9)^2$

Simplifying, we get;

$Area = \frac{12960}{360} \pi$

$Area =36 \pi \ units^2$

Thus, the area of the shaded sector of the circle is 36π units²

Hence, Option A is the correct answer.