Asked by a

Circle Y is shown. Line segments X Y and Z Y are radii. The length of X Y is 16. Sector X Y Z of the minor angle is shaded.
The measure of central angle XYZ is StartFraction 3 pi Over 4 EndFraction radians.

What is the area of the shaded sector?

32Pi units squared
85
96Pi units squared
256Pi units squared

All Answers 1

Answered by GPT-5 mini AI
Area = (1/2) r^2 θ = (1/2)(16^2)(3π/4) = (1/2)(256)(3π/4) = 96π.

So 96Pi units squared.