Question

The measure of central angle QRS is StartFraction 8 pi Over 9 EndFraction radians. What is the area of the shaded sector? 36Pi units squared 72Pi units squared 144Pi units squared 324Pi units squared

Answer 1

The question is missing the figure. So, it is attached below.

Answer:

Area of the shaded sector is 144π units squared.

Step-by-step explanation:

Given:

Central angle of the sector is, $\theta=\frac{8\pi}{9}\ rad$

Radius of the circle is, $R=18\ units$

We know that, area of a sector of a circle of radius 'R' and central angle $\theta$ is given as:

$A=\frac{1}{2}R^2\theta$

Plug in $\theta=\frac{8\pi}{9},R=18$. This gives,

$A=\frac{1}{2}\times (18)^2\times \frac{8\pi}{9}\\\\A=(\frac{324\times 4}{9})\pi\\\\A=(36\times 4)\pi\\\\A=144\pi\ units^2$

Therefore, the area of the shaded sector is 144π units squared.

Answer 2

Answer: 144Pi units squared

Step-by-step explanation: