Answer :
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,
[tex]Area = (\frac{\theta}{360}) \pi r^2[/tex]
Substituting [tex]\theta=160[/tex] and r = 9, we get;
[tex]Area = (\frac{160}{360}) \pi (9)^2[/tex]
Simplifying, we get;
[tex]Area = \frac{12960}{360} \pi[/tex]
[tex]Area =36 \pi \ units^2[/tex]
Thus, the area of the shaded sector of the circle is 36π units²
Hence, Option A is the correct answer.