Question

The measure of central angle RST is pi radians. What is the area of the shaded sector? 4pi units^2 8pi units^2 16pi units^2 20pi units^2

Answer 1

8
`\pi`
`units^(2)`

Explanation:

did it on edge

Answer 2

8π units²

Explanation:

Area of the circle can be defined as pi 'π' times the radius squared 'r²'

A= πr²

radius given is 4 (see attachment for the figure)

r=4

A = π4²

A= 16π

Now, if you look at the figure, you can see that the shaded area of the circle is 'half' of the whole circle.

We will half the Area which we have found it above in order to determine the area of shaded sector

Therefore,

area of the shaded sector = 16π/2 => 8π units²