The measure of central angle xyz is 3 pie / 4 radians.
what is the area of the shaded sector?
35 pie units square
85 pie units square
96 pie units square
256 pie units square

Step-by-step explanation:

From the given picture, it can be seen that the radius of the circle = 16 units

Also, the measure of central angle XYZ radians

The area of sector with radius r and angle x radian is given by :-

Now, the area of the shaded sector is given by :-

Option C. 96 pie units square

Step-by-step explanation:

We have to find the area of shaded sector of the circle.

Area of a sector formed by an arc =

Where R = Radius of the circle

and L = Length of the arc.

for area of the sector we will find the length of arc first.

Since  when L is length of arc.

by putting = ×16 = ( ) (4)

= unit

Area of the shaded sector =

= 8 × =

Option C. 96 pie units square

c

step-by-step explanation: