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4 August, 22:44

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

+5
Answers (2)
  1. 5 August, 01:32
    0
    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!
  2. 5 August, 02:23
    0
    96pi units²

    Step-by-step explanation:

    Area of sector = ½ * r² * theta

    ½ * 16² * (3pi/4)

    96pi units²
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