The measure of central angle xyz is 3pi/4 radians. what is the area of the shaded sector?
32pi units2
85 ..
96 ..
256 ..

96π units²

Step-by-step explanation:

area of shaded sector (A) = area of circle × fraction of circle

A = πr² ×

   = 16² ×

   = 256 ×

   = 32 × 3π

   = 96π units²

Area of sector : 96 π unit².

Step-by-step explanation:

Given : The measure of central angle XYZ is 3pi/4 radians.

To find : What is the area of the shaded sector?

Solution: We have given central angle XYZ is 3pi/4 radians.

Area of sector : (radius)²* central angle.

Plug the values central angle  = , radius = 16 units.

Then ,

Area of sector : (16)²* .

Area of sector : * 256 * .

Area of sector :  128 * .

Area of sector : 32 * 3 π

Area of sector : 96 π unit².

Therefore, Area of sector : 96 π unit².