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

What is the area of the shaded sector?

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

96pi units²

Step-by-step explanation:

Area of sector = ½ × r² × theta

½ × 16² × (3pi/4)

96pi units²

We can solve for the area of the sector using the formula [ A = 1/2 * r² * θ]. Note that θ equals the measure for the central angle which 3π/4

A = 1/2 * 16² * 3π/4

A = 1/2 * 256 * 3π/4

A = 128 * 3π/4

A = 3π128/4

A = 384π/4

A = 96π

Best of Luck!

the diameter is 16 cm. are you a teacher?

step-by-step explanation:

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step-by-step explanation: