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 = ((\theta)/(360)) \pi r^2`

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

`Area = ((160)/(360)) \pi (9)^2`

Simplifying, we get;

`Area = (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.