Question

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

a. 36 pi units2
b. 8 pi units2
c. 48 pi units2
d. 81 pi units2

PLEASE HURRY!! I HAVE LIMITED TIME!! :)

Answer 1

Given:

Given that the radius of the circle is 9 units.

The measure of the angle JHG is 160°

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

Area of the circle:

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

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

where r is the radius

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

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

Simplifying, we get;

$A=(\frac{160}{360}) \pi (81)$

$A=36 \pi$

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

Hence, Option a is the correct answer.