Question

The measure of central angle xyz is radians. What is the area of the shaded sector? 32 85 96 256.

Answer 1

If the measure of central angle is 3π /4 radians, then the area off the shaded sector is 96π square units

The radius of the circle = 16 units

The central angle of the shaded region = 3π /4 radians

The area of the sector = (θ/ 360) × πr^2

Where θ is the central angle of the sector

r is the radius of the sector

Substitute the values in the equation

The area of the sector = ((3π /4) /360) × π × 16^2

Convert the radians to the degrees

= (135/360) × 256π

Multiply the terms

= 96π square units

Hence, the area of the shaded sector is  96π square units

The complete question is

The measure of central angle XYZ is 3 pie / 4 radians. What is the area of the shaded sector?

Learn more about area of the sector here

brainly.com/question/7512468

#SPJ4