Question

The measure of central angle RST is radians. What is the area of the shaded sector? 4Pi units squared

8Pi units squared
16Pi units squared
20Pi units squared

Answer 1

its 8

Explanation:

i got it right

Answer 2

"
`8\pi` units squared"

Explanation:

The image of the circle is attached.

The shaded area of the circle is basically HALF of the whole circle. If we can get the area of the circle, we will halve it, to get our answer for area of shaded region.

Area of circle is given as:

`A=\pi r^2`

Where

A is area

r is the radius

Looking at the pic, the radius is "4", so we substitute and find area of circle:

`A=\pi r^2\\A=\pi (4)^2\\A=\pi (16)\\A=16\pi`

THe shaded area is HALF of that, so:

Area of Shaded =
`(16\pi)/(2)=8\pi` sq. units.

Answer is "
`8\pi` units squared"