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

Question

Mathematics

Samara Cannon

24 October, 21:46

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

+1

Answers (2)

Know the Answer?

Armani Golden · Answer 1

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!

Cassandra Garza · Answer 2

96pi units²

Step-by-step explanation:

Area of sector = ½ * r² * theta

½ * 16² * (3pi/4)

96pi units²