Given:
Given that H is the center of the circle.
The radius of the circle is 9 units.
The measure of β JHG is 160Β°
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,
Substituting and r = 9, we get;
Simplifying, we get;
Thus, the area of the shaded sector of the circle is 36Ο unitsΒ²
Hence, Option A is the correct answer.