The semicircle shown at left has center x xx and diameter w z ‾ wz start overline, w, z, end overline. the radius x y ‾ xy start overline, x, y, end overline of the semicircle has length 2 22. the chord y z ‾ yz start overline, y, z, end overline has length 2 22. what is the area of the shaded sector formed by obtuse angle w x y wxyw, x, y?

The area of the shaded region is 4π/3 square units.

We have given that x= center diameter =wz w and z end over line radius=2

Triangle XYZ is equilateral,

What is the central angle of equilateral ?

120 degrees

so the central angle of the sector is 120°,

In radian

=120×/180

=2π/3 radians.

The area of a sector of central angle β is given by,

. . . . . . β in radians

 = 4π/3 . . . . square units

Therefore the area of the shaded region is 4π/3 square units.

To learn more about equilateral tingle area visit:

link

b. the decimal could be two-tenths.

step-by-step explanation: