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

Answer: 144Pi units squared

Explanation:

Answer 2

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

Answer:

Area of the shaded sector is 144π units squared.

Explanation:

Given:

Central angle of the sector is,
`\theta=(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=(1)/(2)R^2\theta`

Plug in
`\theta=(8\pi)/(9),R=18`. This gives,

`A=(1)/(2)* (18)^2* (8\pi)/(9)\\\\A=((324* 4)/(9))\pi\\\\A=(36* 4)\pi\\\\A=144\pi\ units^2`

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