Ask Question
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)
  1. 24 October, 22:21
    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. 25 October, 01:45
    0
    96pi units²

    Step-by-step explanation:

    Area of sector = ½ * r² * theta

    ½ * 16² * (3pi/4)

    96pi units²
Know the Answer?
Not Sure About the Answer?
Find an answer to your question ✅ “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 ...” in 📘 Mathematics if you're in doubt about the correctness of the answers or there's no answer, then try to use the smart search and find answers to the similar questions.
Search for Other Answers