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

the area of the circle in this figure with radius 16 is:

  this represents the area of the complete circle.

now, if we divide this circle in 8 parts and shade the sector xyz, this represents of the area of the circle.    

then, the xyz area is    

now, a circle has which is equivalent to radians

if the area xyz represents of the area of the circle, then, the angle formed is:

radians

the arc length is found by finding the circumference of the full circle (2xpixradius) and then dividing by 4 to find just one quarter of the circle (90 degrees).