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.

d. millimeters per hour.

step-by-step explanation:

we are given that,

carlo used a rain gauge to measure the amount of water his lawn is receiving from the sprinklers.

since, according to the options, we see that,

water cannot be measured by 'miles per hour', 'meters per second' and 'grams per seconds'.

we get that, the water can be measured by 'millimeters per hour'.

hence, the appropriate rate for describing the amount of water is 'millimeters per hour'.